Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70602q |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2204160 |
Modular degree for the optimal curve |
Δ |
2415647489865059646 = 2 · 32 · 75 · 418 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -1 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1023764,-392052841] |
[a1,a2,a3,a4,a6] |
Generators |
[-57907715565224559342:148028155197670648907:90624125509040024] |
Generators of the group modulo torsion |
j |
14861150977/302526 |
j-invariant |
L |
9.5132752332279 |
L(r)(E,1)/r! |
Ω |
0.15027509512324 |
Real period |
R |
31.652867114893 |
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 |
70602bo1 |
Quadratic twists by: 41 |