Atkin-Lehner |
2+ 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488q |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-4127934191472 = -1 · 24 · 310 · 72 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 6 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11703,-497005] |
[a1,a2,a3,a4,a6] |
j |
-15197348275456/353903823 |
j-invariant |
L |
5.5005785696607 |
L(r)(E,1)/r! |
Ω |
0.22919080980416 |
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 |
41496s1 |
Quadratic twists by: -3 |