Atkin-Lehner |
2+ 3- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986p |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-172334392776 = -1 · 23 · 37 · 73 · 13 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60669,5766957] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-1512:1] [-154:21133:8] |
Generators of the group modulo torsion |
j |
-33876670511629009/236398344 |
j-invariant |
L |
8.6232953247081 |
L(r)(E,1)/r! |
Ω |
0.90925172258117 |
Real period |
R |
0.3951644664928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662z1 |
Quadratic twists by: -3 |