Atkin-Lehner |
3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78213h |
Isogeny class |
Conductor |
78213 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
597632 |
Modular degree for the optimal curve |
Δ |
4047493727267451 = 32 · 299 · 31 |
Discriminant |
Eigenvalues |
1 3- 3 0 4 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100097,11790317] |
[a1,a2,a3,a4,a6] |
Generators |
[5460:123199:64] |
Generators of the group modulo torsion |
j |
7645373/279 |
j-invariant |
L |
13.405324518444 |
L(r)(E,1)/r! |
Ω |
0.43630296689436 |
Real period |
R |
7.6812017887464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78213f1 |
Quadratic twists by: 29 |