Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024v |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9502316550720048 = -1 · 24 · 3 · 118 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24119,4914648] |
[a1,a2,a3,a4,a6] |
j |
-54744881152/335238123 |
j-invariant |
L |
1.4126987963349 |
L(r)(E,1)/r! |
Ω |
0.3531746848051 |
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 |
8184d1 |
Quadratic twists by: -11 |