Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cp |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
-3164218771386064896 = -1 · 213 · 32 · 7 · 1910 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -2 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43440,-85669164] |
[a1,a2,a3,a4,a6] |
j |
-361/126 |
j-invariant |
L |
3.6171849544993 |
L(r)(E,1)/r! |
Ω |
0.11303705117253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162u1 121296br1 |
Quadratic twists by: -4 -19 |