Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15136b |
Isogeny class |
Conductor |
15136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-83308544 = -1 · 212 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3 3 2 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136,752] |
[a1,a2,a3,a4,a6] |
j |
-67917312/20339 |
j-invariant |
L |
7.2775704018222 |
L(r)(E,1)/r! |
Ω |
1.8193926004555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15136c1 30272n1 |
Quadratic twists by: -4 8 |