Atkin-Lehner |
2+ 3- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986g |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-2377511214624 = -1 · 25 · 37 · 7 · 133 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -5 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3150,-30348] |
[a1,a2,a3,a4,a6] |
Generators |
[21:201:1] |
Generators of the group modulo torsion |
j |
4740785330399/3261332256 |
j-invariant |
L |
3.2838906943512 |
L(r)(E,1)/r! |
Ω |
0.46239701172901 |
Real period |
R |
0.88773570460743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662t1 |
Quadratic twists by: -3 |