Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616bm |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
-224798685050944 = -1 · 26 · 378 |
Discriminant |
Eigenvalues |
2- -2 3 -2 4 2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16884,-1116242] |
[a1,a2,a3,a4,a6] |
j |
-2368 |
j-invariant |
L |
2.4621129096027 |
L(r)(E,1)/r! |
Ω |
0.20517606388843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616bk1 43808n1 87616bo1 |
Quadratic twists by: -4 8 37 |