Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418x |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-18444597248 = -1 · 211 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 11- 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2794,56055] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:-301:1] |
Generators of the group modulo torsion |
j |
-1004663148097/7682048 |
j-invariant |
L |
5.8061065589416 |
L(r)(E,1)/r! |
Ω |
1.2313031480443 |
Real period |
R |
0.071445696893445 |
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 |
33418bm1 |
Quadratic twists by: -7 |