Atkin-Lehner |
2- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75020g |
Isogeny class |
Conductor |
75020 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
82368 |
Modular degree for the optimal curve |
Δ |
-531610024880 = -1 · 24 · 5 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- -4 11- 3 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1775,-19472] |
[a1,a2,a3,a4,a6] |
Generators |
[87:895:1] |
Generators of the group modulo torsion |
j |
180224/155 |
j-invariant |
L |
6.5142726559911 |
L(r)(E,1)/r! |
Ω |
0.51023128834264 |
Real period |
R |
4.255764529526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75020f1 |
Quadratic twists by: -11 |