Atkin-Lehner |
2+ 3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950d |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1299902343750000 = -1 · 24 · 33 · 514 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13900,1840000] |
[a1,a2,a3,a4,a6] |
Generators |
[96:1136:1] |
Generators of the group modulo torsion |
j |
-19010647320769/83193750000 |
j-invariant |
L |
3.8447060439721 |
L(r)(E,1)/r! |
Ω |
0.42050883392814 |
Real period |
R |
4.5714925987944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790x1 |
Quadratic twists by: 5 |