Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462s |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-128003454372695616 = -1 · 26 · 314 · 114 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 11+ 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,95031,12982477] |
[a1,a2,a3,a4,a6] |
j |
4558438520831/6147814464 |
j-invariant |
L |
1.7781479587989 |
L(r)(E,1)/r! |
Ω |
0.22226849485003 |
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 |
11154ba1 33462cw1 |
Quadratic twists by: -3 13 |