Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450x |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
64410649200 = 24 · 313 · 52 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2817,-55539] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:51:1] |
Generators of the group modulo torsion |
j |
135676125625/3534192 |
j-invariant |
L |
3.8776922242388 |
L(r)(E,1)/r! |
Ω |
0.6563505656841 |
Real period |
R |
1.4769897471624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bi1 45450co1 |
Quadratic twists by: -3 5 |