Atkin-Lehner |
2- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38236b |
Isogeny class |
Conductor |
38236 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
4335194009344 = 28 · 118 · 79 |
Discriminant |
Eigenvalues |
2- -1 1 -1 11- -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7300,-215752] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:146:1] |
Generators of the group modulo torsion |
j |
94875856/9559 |
j-invariant |
L |
4.2480131470034 |
L(r)(E,1)/r! |
Ω |
0.51984616147617 |
Real period |
R |
4.0858367934649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3476a1 |
Quadratic twists by: -11 |