Atkin-Lehner |
3+ 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075l |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-1.2689623327699E+21 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 11- 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-277408,-1714718157] |
[a1,a2,a3,a4,a6] |
j |
-151099210615066624/81213589297275435 |
j-invariant |
L |
3.3029029546847 |
L(r)(E,1)/r! |
Ω |
0.068810478245121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015p1 |
Quadratic twists by: 5 |