Atkin-Lehner |
2- 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bi |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-63243887616 = -1 · 210 · 36 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 5 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24699,-1494106] |
[a1,a2,a3,a4,a6] |
j |
-2232206341348/84721 |
j-invariant |
L |
0.76165464675268 |
L(r)(E,1)/r! |
Ω |
0.19041393476912 |
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 |
13832c1 |
Quadratic twists by: -3 |