Atkin-Lehner |
3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20295k |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
1850737323963825 = 39 · 52 · 113 · 414 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-173498,27781872] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:6885:1] |
Generators of the group modulo torsion |
j |
792277377846851161/2538734326425 |
j-invariant |
L |
2.1158826769294 |
L(r)(E,1)/r! |
Ω |
0.47100206479869 |
Real period |
R |
2.2461501074669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6765c1 101475bk1 |
Quadratic twists by: -3 5 |