Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
80736d |
Isogeny class |
Conductor |
80736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
278400 |
Modular degree for the optimal curve |
Δ |
2305135470924288 = 29 · 32 · 298 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 2 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40648,-2161588] |
[a1,a2,a3,a4,a6] |
Generators |
[-15547034:51642639:97336] |
Generators of the group modulo torsion |
j |
29000/9 |
j-invariant |
L |
8.9388494905371 |
L(r)(E,1)/r! |
Ω |
0.34439507956124 |
Real period |
R |
12.977609172921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80736a1 80736f1 |
Quadratic twists by: -4 29 |