Atkin-Lehner |
2+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34960d |
Isogeny class |
Conductor |
34960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-634246242800 = -1 · 24 · 52 · 194 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -4 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4840,136775] |
[a1,a2,a3,a4,a6] |
Generators |
[35:95:1] |
Generators of the group modulo torsion |
j |
-783843825346816/39640390175 |
j-invariant |
L |
5.2586321112661 |
L(r)(E,1)/r! |
Ω |
0.9018010675901 |
Real period |
R |
0.7289068925865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17480a1 |
Quadratic twists by: -4 |