Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275gg |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
2.8673935117824E+22 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-151586400,-718307729519] |
[a1,a2,a3,a4,a6] |
Generators |
[-83734360848670515812899:79225495818255722234786:11791339403567039441] |
Generators of the group modulo torsion |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
5.7624333911954 |
L(r)(E,1)/r! |
Ω |
0.043026541103469 |
Real period |
R |
33.481853545571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425bc1 121275dq1 17325bn1 |
Quadratic twists by: -3 5 -7 |