Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616q |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
6075640136512 = 26 · 377 |
Discriminant |
Eigenvalues |
2+ -3 -4 1 3 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79402,-8611010] |
[a1,a2,a3,a4,a6] |
Generators |
[333:1369:1] |
Generators of the group modulo torsion |
j |
337153536/37 |
j-invariant |
L |
1.9252178178249 |
L(r)(E,1)/r! |
Ω |
0.2844097981274 |
Real period |
R |
1.6922920939182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616p1 43808e1 2368i1 |
Quadratic twists by: -4 8 37 |