Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622bk |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-24623972352 = -1 · 218 · 33 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-755,-10797] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-414:1] |
Generators of the group modulo torsion |
j |
-35930671875/18612224 |
j-invariant |
L |
11.163328919466 |
L(r)(E,1)/r! |
Ω |
0.44458908789388 |
Real period |
R |
0.69748106380593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622f2 62622bi1 |
Quadratic twists by: -3 -7 |