Atkin-Lehner |
2- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90988a |
Isogeny class |
Conductor |
90988 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-100728356024048 = -1 · 24 · 237 · 432 |
Discriminant |
Eigenvalues |
2- -1 0 4 4 -5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11462,-104311] |
[a1,a2,a3,a4,a6] |
Generators |
[31:529:1] |
Generators of the group modulo torsion |
j |
70304000/42527 |
j-invariant |
L |
6.9163494694534 |
L(r)(E,1)/r! |
Ω |
0.34737960419637 |
Real period |
R |
1.6591718389759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3956c1 |
Quadratic twists by: -23 |