Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
94192ba |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
545664 |
Modular degree for the optimal curve |
Δ |
-25996805588757248 = -1 · 28 · 7 · 299 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 2 -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260149,51744425] |
[a1,a2,a3,a4,a6] |
Generators |
[3925:243890:1] |
Generators of the group modulo torsion |
j |
-524288/7 |
j-invariant |
L |
3.8269088078975 |
L(r)(E,1)/r! |
Ω |
0.37765325410504 |
Real period |
R |
2.5333482330327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999789735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23548c1 94192y1 |
Quadratic twists by: -4 29 |