Atkin-Lehner |
2- 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9614g |
Isogeny class |
Conductor |
9614 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
1546085024 = 25 · 11 · 192 · 233 |
Discriminant |
Eigenvalues |
2- 0 1 1 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-412,-2497] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:29:1] |
Generators of the group modulo torsion |
j |
7716613608081/1546085024 |
j-invariant |
L |
6.9445910755301 |
L(r)(E,1)/r! |
Ω |
1.0747442169315 |
Real period |
R |
0.21538740617302 |
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 |
76912e1 86526g1 105754e1 |
Quadratic twists by: -4 -3 -11 |