Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520j |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19269992857600 = 214 · 52 · 196 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10108,329232] |
[a1,a2,a3,a4,a6] |
j |
148176/25 |
j-invariant |
L |
1.3100392818688 |
L(r)(E,1)/r! |
Ω |
0.65501954249213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115520bv2 14440h2 320b2 |
Quadratic twists by: -4 8 -19 |