Atkin-Lehner |
2+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33934c |
Isogeny class |
Conductor |
33934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14256 |
Modular degree for the optimal curve |
Δ |
-8844625628 = -1 · 22 · 196 · 47 |
Discriminant |
Eigenvalues |
2+ 0 0 0 2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,113,4473] |
[a1,a2,a3,a4,a6] |
j |
3375/188 |
j-invariant |
L |
0.99066260420478 |
L(r)(E,1)/r! |
Ω |
0.99066260420402 |
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 |
94a1 |
Quadratic twists by: -19 |