Atkin-Lehner |
2+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192c |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
15588021904 = 24 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ -5 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,6047] |
[a1,a2,a3,a4,a6] |
j |
614656/169 |
j-invariant |
L |
2.3168669254152 |
L(r)(E,1)/r! |
Ω |
1.1584334627076 |
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 |
5096g1 40768bz1 91728s1 10192e1 |
Quadratic twists by: -4 8 -3 -7 |