Atkin-Lehner |
2+ 3+ 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630d |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
30542400 = 26 · 33 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84,-112] |
[a1,a2,a3,a4,a6] |
j |
2444008923/1131200 |
j-invariant |
L |
3.2953341023164 |
L(r)(E,1)/r! |
Ω |
1.6476670491509 |
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 |
63630z1 |
Quadratic twists by: -3 |