Atkin-Lehner |
2- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514v |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
252672 |
Modular degree for the optimal curve |
Δ |
-52035653397644 = -1 · 22 · 79 · 193 · 47 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -2 4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6124,-293476] |
[a1,a2,a3,a4,a6] |
Generators |
[9516:177718:27] |
Generators of the group modulo torsion |
j |
629422793/1289492 |
j-invariant |
L |
11.674844450496 |
L(r)(E,1)/r! |
Ω |
0.32903979215917 |
Real period |
R |
2.9567964935682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87514o1 |
Quadratic twists by: -7 |