Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138q |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-1953483080463286272 = -1 · 222 · 33 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1720844,871909391] |
[a1,a2,a3,a4,a6] |
j |
-35091039199419/121634816 |
j-invariant |
L |
5.8026329399623 |
L(r)(E,1)/r! |
Ω |
0.26375604272556 |
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 |
121104bf1 15138a1 522b1 |
Quadratic twists by: -4 -3 29 |