Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075s |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
468720 |
Modular degree for the optimal curve |
Δ |
-1047560185546875 = -1 · 37 · 510 · 73 · 11 · 13 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11+ 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5208,-1562182] |
[a1,a2,a3,a4,a6] |
j |
-1600000000/107270163 |
j-invariant |
L |
0.64982696209391 |
L(r)(E,1)/r! |
Ω |
0.21660899203871 |
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 |
75075bv1 |
Quadratic twists by: 5 |