Atkin-Lehner |
3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775b |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
181088325 = 33 · 52 · 11 · 293 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-240,1276] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:43:1] [4:19:1] |
Generators of the group modulo torsion |
j |
2264924160/268279 |
j-invariant |
L |
8.2799001606237 |
L(r)(E,1)/r! |
Ω |
1.7402593220639 |
Real period |
R |
0.79297570345231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775f2 71775n1 |
Quadratic twists by: -3 5 |