Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73080a |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
264192 |
Modular degree for the optimal curve |
Δ |
593273963520 = 210 · 39 · 5 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264843,-52460298] |
[a1,a2,a3,a4,a6] |
Generators |
[1507990252:87329485907:438976] |
Generators of the group modulo torsion |
j |
101929045909932/29435 |
j-invariant |
L |
6.3988329735788 |
L(r)(E,1)/r! |
Ω |
0.21045169964157 |
Real period |
R |
15.202616527318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73080y1 |
Quadratic twists by: -3 |