Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192q |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-25818564395008 = -1 · 218 · 7 · 114 · 312 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 11- 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2920,-252876] |
[a1,a2,a3,a4,a6] |
Generators |
[100:682:1] |
Generators of the group modulo torsion |
j |
-672451615081/6303360448 |
j-invariant |
L |
1.7573134605699 |
L(r)(E,1)/r! |
Ω |
0.28360948276368 |
Real period |
R |
0.77453045797517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774b1 |
Quadratic twists by: -4 |