Atkin-Lehner |
2- 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992x |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-866431738307948544 = -1 · 212 · 311 · 175 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-874128,317737136] |
[a1,a2,a3,a4,a6] |
j |
-24737814642405376/290166236091 |
j-invariant |
L |
1.1285980122113 |
L(r)(E,1)/r! |
Ω |
0.28214950879844 |
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 |
4437h1 23664j1 |
Quadratic twists by: -4 -3 |