Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616k |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-94076963651584 = -1 · 236 · 372 |
Discriminant |
Eigenvalues |
2+ 2 3 -4 6 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8831,337281] |
[a1,a2,a3,a4,a6] |
Generators |
[-1545:59436:125] |
Generators of the group modulo torsion |
j |
212207543/262144 |
j-invariant |
L |
11.723535017339 |
L(r)(E,1)/r! |
Ω |
0.40300278423527 |
Real period |
R |
7.2726141548699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616bn2 2738d2 87616l2 |
Quadratic twists by: -4 8 37 |