Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950bn |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
408477328000000000 = 213 · 59 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -3 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-205826,18590548] |
[a1,a2,a3,a4,a6] |
Generators |
[566:16463:8] |
Generators of the group modulo torsion |
j |
4196653397/1777664 |
j-invariant |
L |
5.4629733733797 |
L(r)(E,1)/r! |
Ω |
0.27030420576903 |
Real period |
R |
5.0526159574129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950de1 10850p1 |
Quadratic twists by: 5 -7 |