Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
80688v |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
49593600 |
Modular degree for the optimal curve |
Δ |
1.7319772656354E+27 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 1 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-309432316,616603607788] |
[a1,a2,a3,a4,a6] |
Generators |
[2296956325765773775162099223019878645957354541240326429908859444599854382462097925989688949721029926340032585294533026208153026033355727:379626237368576396177884654565318925731575246455973490936423289786531233449857240921344657852909920827664477223242007679658398290854188550:64637962158636497531175878181945364581286346891808809776429462419429143200626250707391903293366775636659313435045926270561914417891] |
Generators of the group modulo torsion |
j |
1602912804305104/847288609443 |
j-invariant |
L |
8.7482925235355 |
L(r)(E,1)/r! |
Ω |
0.041373213082196 |
Real period |
R |
211.44822632352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172j1 80688bh1 |
Quadratic twists by: -4 41 |