Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368bi |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-6303406449666816 = -1 · 28 · 39 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 4 5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15876,3741444] |
[a1,a2,a3,a4,a6] |
j |
746496/10633 |
j-invariant |
L |
2.5125268255488 |
L(r)(E,1)/r! |
Ω |
0.31406577867427 |
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 |
109368g1 15624r1 |
Quadratic twists by: -3 -7 |