Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115s |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
16408100546145 = 37 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-288608,59749242] |
[a1,a2,a3,a4,a6] |
j |
2058561081361/12705 |
j-invariant |
L |
1.2393953783508 |
L(r)(E,1)/r! |
Ω |
0.61969768916331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705g1 3465e1 |
Quadratic twists by: -3 -11 |