Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600c |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2225491200 = 28 · 38 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -1 2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,-2483] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:29:1] [28:81:1] |
Generators of the group modulo torsion |
j |
1406080000/347733 |
j-invariant |
L |
8.659011857153 |
L(r)(E,1)/r! |
Ω |
1.0653227104279 |
Real period |
R |
4.0640323220336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800m1 63600x1 |
Quadratic twists by: -4 5 |