Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950cs |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1021193320000000000 = -1 · 212 · 510 · 77 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,244362,-14198108] |
[a1,a2,a3,a4,a6] |
j |
1404547175/888832 |
j-invariant |
L |
3.8215670274998 |
L(r)(E,1)/r! |
Ω |
0.15923196042128 |
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 |
75950bt1 10850s1 |
Quadratic twists by: 5 -7 |