Atkin-Lehner |
2- 3- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
104940ba |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
669233022480 = 24 · 315 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2973,48413] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-729:1] |
Generators of the group modulo torsion |
j |
249150021376/57375945 |
j-invariant |
L |
6.065312307265 |
L(r)(E,1)/r! |
Ω |
0.85486355618233 |
Real period |
R |
0.59125539637789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34980h1 |
Quadratic twists by: -3 |