Atkin-Lehner |
7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34447k |
Isogeny class |
Conductor |
34447 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-539003128699 = -1 · 79 · 192 · 37 |
Discriminant |
Eigenvalues |
0 0 -1 7- -5 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1372,29412] |
[a1,a2,a3,a4,a6] |
Generators |
[0:171:1] |
Generators of the group modulo torsion |
j |
7077888/13357 |
j-invariant |
L |
2.5772712902759 |
L(r)(E,1)/r! |
Ω |
0.63664056059467 |
Real period |
R |
1.0120590211331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34447a1 |
Quadratic twists by: -7 |