Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bg |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-1595504696902099200 = -1 · 28 · 315 · 52 · 73 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1828737,-953345219] |
[a1,a2,a3,a4,a6] |
j |
-37111632961355475385/87544839336192 |
j-invariant |
L |
0.51923028059365 |
L(r)(E,1)/r! |
Ω |
0.06490383479293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850bw1 116550fv1 |
Quadratic twists by: -3 5 |