Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bg |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
562077140625 = 33 · 56 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2288,21567] |
[a1,a2,a3,a4,a6] |
Generators |
[67:379:1] |
Generators of the group modulo torsion |
j |
84778086457/35972937 |
j-invariant |
L |
5.1318692892783 |
L(r)(E,1)/r! |
Ω |
0.83219821373685 |
Real period |
R |
2.0555476670364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3003e1 |
Quadratic twists by: 5 |