Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520f |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-826820496930816000 = -1 · 214 · 39 · 53 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -3 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-561168,-167613408] |
[a1,a2,a3,a4,a6] |
j |
-60602588439552/2563893625 |
j-invariant |
L |
0.87000615030922 |
L(r)(E,1)/r! |
Ω |
0.087000612391024 |
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 |
83520dq1 10440a1 83520l1 |
Quadratic twists by: -4 8 -3 |