Atkin-Lehner |
2- 3+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38478g |
Isogeny class |
Conductor |
38478 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34320 |
Modular degree for the optimal curve |
Δ |
-136895604714 = -1 · 2 · 36 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 11- 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,784,15995] |
[a1,a2,a3,a4,a6] |
Generators |
[1236:11959:64] |
Generators of the group modulo torsion |
j |
30080231/77274 |
j-invariant |
L |
7.2897355334054 |
L(r)(E,1)/r! |
Ω |
0.72512989831074 |
Real period |
R |
5.0265032171397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434v1 318c1 |
Quadratic twists by: -3 -11 |