Atkin-Lehner |
3- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bp |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
174960 |
Modular degree for the optimal curve |
Δ |
-4956123046875 = -1 · 3 · 510 · 7 · 11 · 133 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3542,-68756] |
[a1,a2,a3,a4,a6] |
j |
503091200/507507 |
j-invariant |
L |
1.2533050022225 |
L(r)(E,1)/r! |
Ω |
0.41776832263618 |
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 |
75075y1 |
Quadratic twists by: 5 |