Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622bx |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-55008375534749952 = -1 · 28 · 36 · 77 · 713 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,72535,8395881] |
[a1,a2,a3,a4,a6] |
j |
492103442375/641376512 |
j-invariant |
L |
3.8065131640385 |
L(r)(E,1)/r! |
Ω |
0.23790707314082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6958f1 8946v1 |
Quadratic twists by: -3 -7 |