Atkin-Lehner |
2+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24206b |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-44560612332324998 = -1 · 2 · 715 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 3 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42655,-10725133] |
[a1,a2,a3,a4,a6] |
j |
-72956034411625/378758955302 |
j-invariant |
L |
1.1974197809462 |
L(r)(E,1)/r! |
Ω |
0.14967747261827 |
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 |
3458c1 |
Quadratic twists by: -7 |