Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840b |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-7426980000000000 = -1 · 211 · 32 · 510 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ -2 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6104,-4144304] |
[a1,a2,a3,a4,a6] |
Generators |
[706:18750:1] |
Generators of the group modulo torsion |
j |
12279090028462/3626455078125 |
j-invariant |
L |
2.2460296536158 |
L(r)(E,1)/r! |
Ω |
0.19626122014338 |
Real period |
R |
1.4305103505218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40920q1 |
Quadratic twists by: -4 |