Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462be |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
42152482944 = 27 · 311 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-909,-3483] |
[a1,a2,a3,a4,a6] |
Generators |
[33:24:1] |
Generators of the group modulo torsion |
j |
674636521/342144 |
j-invariant |
L |
5.0797410716338 |
L(r)(E,1)/r! |
Ω |
0.91736898295065 |
Real period |
R |
1.3843233110234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154bc1 33462ch1 |
Quadratic twists by: -3 13 |