Atkin-Lehner |
2- 43- |
Signs for the Atkin-Lehner involutions |
Class |
118336bi |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
7755268096 = 222 · 432 |
Discriminant |
Eigenvalues |
2- -1 3 -1 0 1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1089,13537] |
[a1,a2,a3,a4,a6] |
Generators |
[69:512:1] |
Generators of the group modulo torsion |
j |
294937/16 |
j-invariant |
L |
7.7188916968881 |
L(r)(E,1)/r! |
Ω |
1.2978886494837 |
Real period |
R |
1.4868170139255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336m1 29584l1 118336x1 |
Quadratic twists by: -4 8 -43 |