Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138i |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-242662896 = -1 · 24 · 32 · 73 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,53,-730] |
[a1,a2,a3,a4,a6] |
j |
3442951/49392 |
j-invariant |
L |
1.7199749172688 |
L(r)(E,1)/r! |
Ω |
0.85998745863439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97104cc1 36414ch1 84966v1 12138e1 |
Quadratic twists by: -4 -3 -7 17 |