Atkin-Lehner |
5- 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68425g |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
-37419921875 = -1 · 59 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
1 -1 5- 7+ 3 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,425,-8500] |
[a1,a2,a3,a4,a6] |
j |
4330747/19159 |
j-invariant |
L |
2.3332385439778 |
L(r)(E,1)/r! |
Ω |
0.58330964024241 |
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 |
68425i1 |
Quadratic twists by: 5 |