Atkin-Lehner |
2+ 3- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238n |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-284857714856286 = -1 · 2 · 312 · 11 · 13 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11+ 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11169,-675837] |
[a1,a2,a3,a4,a6] |
j |
211357266837263/390751323534 |
j-invariant |
L |
1.1480598336128 |
L(r)(E,1)/r! |
Ω |
0.28701491282716 |
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 |
31746bn1 |
Quadratic twists by: -3 |