Atkin-Lehner |
2+ 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498k |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
487872 |
Modular degree for the optimal curve |
Δ |
-201068630378 = -1 · 2 · 7 · 118 · 67 |
Discriminant |
Eigenvalues |
2+ 3 -4 7- 11- 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1414,-29386] |
[a1,a2,a3,a4,a6] |
j |
-1459161/938 |
j-invariant |
L |
3.4047680094037 |
L(r)(E,1)/r! |
Ω |
0.37830738745529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113498r1 |
Quadratic twists by: -11 |