Atkin-Lehner |
3+ 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
66975c |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1808325 = 34 · 52 · 19 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 -4 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-38,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [-2:3:1] |
Generators of the group modulo torsion |
j |
249180160/72333 |
j-invariant |
L |
4.5574564210262 |
L(r)(E,1)/r! |
Ω |
1.9612981752306 |
Real period |
R |
1.1618469028787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66975m1 |
Quadratic twists by: 5 |