Atkin-Lehner |
2+ 3+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050n |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-17473218750000 = -1 · 24 · 36 · 59 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 1 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-84325,9392125] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-1730:1] [166:-137:1] |
Generators of the group modulo torsion |
j |
-33952422762341/8946288 |
j-invariant |
L |
7.0423181855347 |
L(r)(E,1)/r! |
Ω |
0.67549058637813 |
Real period |
R |
1.3031858490882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050ci1 |
Quadratic twists by: 5 |