Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136n |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
38793216 |
Modular degree for the optimal curve |
Δ |
-1.1747770086093E+28 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3574539705,82423160158948] |
[a1,a2,a3,a4,a6] |
j |
-108262134693620266564752184000/251795483669687373402363 |
j-invariant |
L |
1.1286479842823 |
L(r)(E,1)/r! |
Ω |
0.040308855889319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136bh1 23712r1 |
Quadratic twists by: -4 -3 |