Atkin-Lehner |
2+ 3- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590o |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-15822437594130 = -1 · 2 · 310 · 5 · 232 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4815,140535] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:315:1] |
Generators of the group modulo torsion |
j |
16933016121839/21704303970 |
j-invariant |
L |
3.3489431586928 |
L(r)(E,1)/r! |
Ω |
0.46880092930457 |
Real period |
R |
1.7859089823964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bj1 |
Quadratic twists by: -3 |