Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bq |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
19205772385536 = 28 · 38 · 115 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19776,1049452] |
[a1,a2,a3,a4,a6] |
Generators |
[38:594:1] |
Generators of the group modulo torsion |
j |
4583229227008/102911589 |
j-invariant |
L |
9.6272919303427 |
L(r)(E,1)/r! |
Ω |
0.68570657165599 |
Real period |
R |
0.35099896707164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28116e1 37488z1 |
Quadratic twists by: -4 -3 |