Atkin-Lehner |
2- 3- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38628f |
Isogeny class |
Conductor |
38628 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
10883588416812288 = 28 · 36 · 292 · 375 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -3 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303384,64122532] |
[a1,a2,a3,a4,a6] |
Generators |
[1896:79402:1] |
Generators of the group modulo torsion |
j |
16547570407186432/58318267837 |
j-invariant |
L |
7.1450959185707 |
L(r)(E,1)/r! |
Ω |
0.40650718945578 |
Real period |
R |
0.58589336211068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4292a1 |
Quadratic twists by: -3 |