Atkin-Lehner |
7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
127813c |
Isogeny class |
Conductor |
127813 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
127813 = 7 · 19 · 312 |
Discriminant |
Eigenvalues |
-1 -1 0 7+ -3 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1973,32910] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-11:1] |
Generators of the group modulo torsion |
j |
883884132625/133 |
j-invariant |
L |
2.1099054791141 |
L(r)(E,1)/r! |
Ω |
2.5785551738346 |
Real period |
R |
0.81825105005252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127813a1 |
Quadratic twists by: -31 |