Atkin-Lehner |
2- 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
33180i |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
19918080 |
Modular degree for the optimal curve |
Δ |
1.6070212795247E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -3 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4925756925,133064723955177] |
[a1,a2,a3,a4,a6] |
Generators |
[40464:-19845:1] |
Generators of the group modulo torsion |
j |
51630065574484672360058973577216/6277426873143229125 |
j-invariant |
L |
4.6736635950462 |
L(r)(E,1)/r! |
Ω |
0.085293436126948 |
Real period |
R |
0.23416715580109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99540m1 |
Quadratic twists by: -3 |