Atkin-Lehner |
2+ 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240l |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-18956164218750000 = -1 · 24 · 38 · 510 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78211,-10738540] |
[a1,a2,a3,a4,a6] |
j |
-3306837079027738624/1184760263671875 |
j-invariant |
L |
1.1217731041277 |
L(r)(E,1)/r! |
Ω |
0.14022166227189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54120k1 |
Quadratic twists by: -4 |