Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104l |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-135862272 = -1 · 211 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 3 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-614] |
[a1,a2,a3,a4,a6] |
j |
-31250/91 |
j-invariant |
L |
1.5015287960768 |
L(r)(E,1)/r! |
Ω |
0.75076439803842 |
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 |
6552u1 52416fb1 1456a1 91728bi1 |
Quadratic twists by: -4 8 -3 -7 |