Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462x |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2721199375106784 = -1 · 25 · 36 · 11 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11+ 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9918,-2535948] |
[a1,a2,a3,a4,a6] |
j |
-30664297/773344 |
j-invariant |
L |
1.5747952363702 |
L(r)(E,1)/r! |
Ω |
0.19684940454532 |
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 |
3718q1 2574y1 |
Quadratic twists by: -3 13 |