Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6975n |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
15254325 = 39 · 52 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 1 -6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-525,4626] |
[a1,a2,a3,a4,a6] |
Generators |
[11:13:1] |
Generators of the group modulo torsion |
j |
878080000/837 |
j-invariant |
L |
1.511434302534 |
L(r)(E,1)/r! |
Ω |
2.2006602317183 |
Real period |
R |
0.17170236921965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600eg1 2325j1 6975r1 |
Quadratic twists by: -4 -3 5 |