Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31800b |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
173866500000000 = 28 · 38 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52508,4605012] |
[a1,a2,a3,a4,a6] |
Generators |
[121:92:1] |
Generators of the group modulo torsion |
j |
4002657422416/43466625 |
j-invariant |
L |
5.1811904852051 |
L(r)(E,1)/r! |
Ω |
0.57372350153062 |
Real period |
R |
4.5154072226275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600n1 95400bd1 6360l1 |
Quadratic twists by: -4 -3 5 |