Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bo |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
10475520 |
Modular degree for the optimal curve |
Δ |
2.9144182662302E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16876451,-6122174452] |
[a1,a2,a3,a4,a6] |
Generators |
[-798:83086:1] |
Generators of the group modulo torsion |
j |
272167963989813368693/149218215230986146 |
j-invariant |
L |
5.8904042145972 |
L(r)(E,1)/r! |
Ω |
0.079602378118523 |
Real period |
R |
0.28029485685573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550cp1 |
Quadratic twists by: 5 |