Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90354t |
Isogeny class |
Conductor |
90354 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-38030113530288 = -1 · 24 · 315 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4652,-270016] |
[a1,a2,a3,a4,a6] |
Generators |
[50:272:1] |
Generators of the group modulo torsion |
j |
8132677436375/27779483952 |
j-invariant |
L |
12.371742502204 |
L(r)(E,1)/r! |
Ω |
0.3305759010482 |
Real period |
R |
0.3118734725365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90354g1 |
Quadratic twists by: 37 |