Atkin-Lehner |
2- 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992bi |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-10373819019264 = -1 · 212 · 311 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -3 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2832,-143696] |
[a1,a2,a3,a4,a6] |
Generators |
[370:2349:8] |
Generators of the group modulo torsion |
j |
841232384/3474171 |
j-invariant |
L |
5.0733940740277 |
L(r)(E,1)/r! |
Ω |
0.36588170393894 |
Real period |
R |
1.7332767736221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4437k1 23664o1 |
Quadratic twists by: -4 -3 |