Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6975i |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1477762734375 = -1 · 39 · 57 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 4 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1692,-63909] |
[a1,a2,a3,a4,a6] |
Generators |
[1914:82743:1] |
Generators of the group modulo torsion |
j |
-47045881/129735 |
j-invariant |
L |
5.303823487626 |
L(r)(E,1)/r! |
Ω |
0.34526908930854 |
Real period |
R |
1.9201774977336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600eb1 2325i1 1395b1 |
Quadratic twists by: -4 -3 5 |