Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18600q |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-4488312060000000 = -1 · 28 · 35 · 57 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21908,3463812] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:950:1] |
Generators of the group modulo torsion |
j |
-290731267024/1122078015 |
j-invariant |
L |
4.3319766389715 |
L(r)(E,1)/r! |
Ω |
0.38055730137155 |
Real period |
R |
2.8458110141094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37200p1 55800q1 3720c1 |
Quadratic twists by: -4 -3 5 |