Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880by |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
16663449600 = 212 · 34 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1356080,-607369728] |
[a1,a2,a3,a4,a6] |
Generators |
[3952:236096:1] |
Generators of the group modulo torsion |
j |
67331767795986521521/4068225 |
j-invariant |
L |
6.804637411127 |
L(r)(E,1)/r! |
Ω |
0.13990337784331 |
Real period |
R |
6.0797651169394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4305j1 |
Quadratic twists by: -4 |