Atkin-Lehner |
2- 3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630bb |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
136192 |
Modular degree for the optimal curve |
Δ |
157940858880 = 214 · 33 · 5 · 7 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22187,-1266309] |
[a1,a2,a3,a4,a6] |
j |
44733960204982803/5849661440 |
j-invariant |
L |
5.476560393017 |
L(r)(E,1)/r! |
Ω |
0.39118288544863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630b1 |
Quadratic twists by: -3 |