Atkin-Lehner |
2- 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90300d |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-7166375596800 = -1 · 28 · 312 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3107,109177] |
[a1,a2,a3,a4,a6] |
j |
518116843520/1119746187 |
j-invariant |
L |
2.067717447659 |
L(r)(E,1)/r! |
Ω |
0.51692940068941 |
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 |
90300ca1 |
Quadratic twists by: 5 |