Atkin-Lehner |
3- 7+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38157c |
Isogeny class |
Conductor |
38157 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-117790659 = -1 · 33 · 74 · 23 · 79 |
Discriminant |
Eigenvalues |
0 3- -1 7+ -3 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-211,1222] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:143:8] [-2:40:1] |
Generators of the group modulo torsion |
j |
-1043825065984/117790659 |
j-invariant |
L |
7.8544938630015 |
L(r)(E,1)/r! |
Ω |
1.8155223269303 |
Real period |
R |
0.721049965116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471l1 |
Quadratic twists by: -3 |