Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622cs |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
5843384064 = 28 · 38 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15224,726779] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-71:1] |
Generators of the group modulo torsion |
j |
10923446483593/163584 |
j-invariant |
L |
7.9094867484017 |
L(r)(E,1)/r! |
Ω |
1.2324483387096 |
Real period |
R |
0.40110640442433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874p1 62622bv1 |
Quadratic twists by: -3 -7 |