Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914o |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
175866636132 = 22 · 33 · 11 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2921,-57544] |
[a1,a2,a3,a4,a6] |
j |
18609625/1188 |
j-invariant |
L |
1.9560989618826 |
L(r)(E,1)/r! |
Ω |
0.65203298729615 |
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 |
104742bl1 66a1 |
Quadratic twists by: -3 -23 |