Atkin-Lehner |
2- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
74176n |
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 |
[-6:16:1] |
Generators of the group modulo torsion |
j |
6750/1159 |
j-invariant |
L |
3.994226080337 |
L(r)(E,1)/r! |
Ω |
1.4091563723938 |
Real period |
R |
0.7086200937307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176h1 18544c1 |
Quadratic twists by: -4 8 |