Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462k |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5871871070208 = 212 · 33 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10932,426960] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:956:1] [27:375:1] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
6.3700908031327 |
L(r)(E,1)/r! |
Ω |
0.7508970298748 |
Real period |
R |
4.2416540149288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33462bp3 198c1 |
Quadratic twists by: -3 13 |