Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600bo |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
10003415040000000 = 228 · 32 · 57 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54008,-409488] |
[a1,a2,a3,a4,a6] |
j |
272223782641/156303360 |
j-invariant |
L |
1.3606404406802 |
L(r)(E,1)/r! |
Ω |
0.34016010974761 |
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 |
7950p1 12720bk1 |
Quadratic twists by: -4 5 |