Atkin-Lehner |
2- 3- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33948d |
Isogeny class |
Conductor |
33948 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
4751633664 = 28 · 39 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11424,-469964] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:27:8] |
Generators of the group modulo torsion |
j |
883508641792/25461 |
j-invariant |
L |
3.1967164648113 |
L(r)(E,1)/r! |
Ω |
0.46179131097949 |
Real period |
R |
1.7306066554343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11316b1 |
Quadratic twists by: -3 |