Atkin-Lehner |
2+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74176h |
Isogeny class |
Conductor |
74176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36608 |
Modular degree for the optimal curve |
Δ |
-151912448 = -1 · 217 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ 3 0 2 -3 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,-592] |
[a1,a2,a3,a4,a6] |
Generators |
[786:4240:27] |
Generators of the group modulo torsion |
j |
6750/1159 |
j-invariant |
L |
13.230038216828 |
L(r)(E,1)/r! |
Ω |
0.86227073256817 |
Real period |
R |
3.8358133110584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176n1 9272d1 |
Quadratic twists by: -4 8 |