Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968gm |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-3.2373192248657E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7057083,-11269696790] |
[a1,a2,a3,a4,a6] |
Generators |
[168858580:24322485033:8000] |
Generators of the group modulo torsion |
j |
-7347774183121/6119866368 |
j-invariant |
L |
10.7714008285 |
L(r)(E,1)/r! |
Ω |
0.044735652091259 |
Real period |
R |
10.032453853377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246bm1 40656dp1 11088bk1 |
Quadratic twists by: -4 -3 -11 |