Atkin-Lehner |
2- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032v |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-71196062253056 = -1 · 229 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- -1 1 -3 0 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39585,-3045311] |
[a1,a2,a3,a4,a6] |
j |
-26168974809769/271591424 |
j-invariant |
L |
0.67651485017433 |
L(r)(E,1)/r! |
Ω |
0.16912869796681 |
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 |
84032k1 21008b1 |
Quadratic twists by: -4 8 |