Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616m |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1965200244736 = -1 · 220 · 374 |
Discriminant |
Eigenvalues |
2+ -2 1 0 -2 6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1825,-74433] |
[a1,a2,a3,a4,a6] |
Generators |
[61:212:1] |
Generators of the group modulo torsion |
j |
-1369/4 |
j-invariant |
L |
5.1812808607742 |
L(r)(E,1)/r! |
Ω |
0.33796435551051 |
Real period |
R |
3.8327125127725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616bi1 2738a1 87616n1 |
Quadratic twists by: -4 8 37 |