Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400cd |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
-95027200 = -1 · 217 · 52 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -6 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18913,-1007457] |
[a1,a2,a3,a4,a6] |
Generators |
[26530:267629:125] |
Generators of the group modulo torsion |
j |
-228337902530/29 |
j-invariant |
L |
3.6214280009206 |
L(r)(E,1)/r! |
Ω |
0.20355301361498 |
Real period |
R |
8.8955401263664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400q1 11600c1 46400cp1 |
Quadratic twists by: -4 8 5 |