Atkin-Lehner |
2+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7018a |
Isogeny class |
Conductor |
7018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8712 |
Modular degree for the optimal curve |
Δ |
-273521932156 = -1 · 22 · 119 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83,25185] |
[a1,a2,a3,a4,a6] |
j |
-27/116 |
j-invariant |
L |
0.78479701032599 |
L(r)(E,1)/r! |
Ω |
0.78479701032599 |
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 |
56144j1 63162bs1 7018c1 |
Quadratic twists by: -4 -3 -11 |