Atkin-Lehner |
3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6975g |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2462937890625 = 38 · 58 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3380,-3378] |
[a1,a2,a3,a4,a6] |
j |
374805361/216225 |
j-invariant |
L |
1.3657265629014 |
L(r)(E,1)/r! |
Ω |
0.6828632814507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111600fn2 2325b2 1395a2 |
Quadratic twists by: -4 -3 5 |