Atkin-Lehner |
3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90459o |
Isogeny class |
Conductor |
90459 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-1988427855483 = -1 · 39 · 192 · 234 |
Discriminant |
Eigenvalues |
-2 3- -4 -3 -2 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1587,72076] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:-311:1] [23:-219:1] [-40:267:1] |
Generators of the group modulo torsion |
j |
-2166784/9747 |
j-invariant |
L |
6.072961755615 |
L(r)(E,1)/r! |
Ω |
0.72122371962861 |
Real period |
R |
0.35084824065403 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30153b1 90459v1 |
Quadratic twists by: -3 -23 |