Atkin-Lehner |
2+ 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394bc |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-117793341164412 = -1 · 22 · 32 · 237 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 2 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32545,2316608] |
[a1,a2,a3,a4,a6] |
j |
-25750777177/795708 |
j-invariant |
L |
2.3507585867618 |
L(r)(E,1)/r! |
Ω |
0.58768977127228 |
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 |
4278i1 |
Quadratic twists by: -23 |