Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616p |
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 |
[34854:1369:216] |
Generators of the group modulo torsion |
j |
337153536/37 |
j-invariant |
L |
7.6658328658124 |
L(r)(E,1)/r! |
Ω |
0.72537747115642 |
Real period |
R |
2.6420150767561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616q1 43808p1 2368h1 |
Quadratic twists by: -4 8 37 |