Atkin-Lehner |
2- 11- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
121264q |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-2.8522084353061E+19 |
Discriminant |
Eigenvalues |
2- -1 3 -2 11- 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6318709,-6116801923] |
[a1,a2,a3,a4,a6] |
Generators |
[8894728:1159305199:512] |
Generators of the group modulo torsion |
j |
-6811596250443151409152/6963399500259059 |
j-invariant |
L |
6.9957348321062 |
L(r)(E,1)/r! |
Ω |
0.047608647442278 |
Real period |
R |
6.1226051949088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999720432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7579b1 |
Quadratic twists by: -4 |