Atkin-Lehner |
3- 7+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38157j |
Isogeny class |
Conductor |
38157 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-196116748696491 = -1 · 3 · 78 · 23 · 793 |
Discriminant |
Eigenvalues |
0 3- -3 7+ -5 -6 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4526387,-3708108553] |
[a1,a2,a3,a4,a6] |
j |
-10256019938423734597746688/196116748696491 |
j-invariant |
L |
1.2420608459535 |
L(r)(E,1)/r! |
Ω |
0.051752535247492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471j1 |
Quadratic twists by: -3 |