Atkin-Lehner |
2- 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
78864t |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3637838592 = -1 · 28 · 32 · 313 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 -4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4573,-120601] |
[a1,a2,a3,a4,a6] |
Generators |
[95:558:1] |
Generators of the group modulo torsion |
j |
-41322093568000/14210307 |
j-invariant |
L |
4.7681861159694 |
L(r)(E,1)/r! |
Ω |
0.29027015564464 |
Real period |
R |
1.3688932018432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19716b1 |
Quadratic twists by: -4 |