Atkin-Lehner |
2- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65348a |
Isogeny class |
Conductor |
65348 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16200 |
Modular degree for the optimal curve |
Δ |
-1208676608 = -1 · 28 · 173 · 312 |
Discriminant |
Eigenvalues |
2- 0 -2 -3 -3 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31,-1674] |
[a1,a2,a3,a4,a6] |
Generators |
[18:60:1] |
Generators of the group modulo torsion |
j |
-13392/4913 |
j-invariant |
L |
2.2550675028318 |
L(r)(E,1)/r! |
Ω |
0.68899897467803 |
Real period |
R |
3.2729620587828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65348b1 |
Quadratic twists by: -31 |