Atkin-Lehner |
2- 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650cn |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
690 |
Product of Tamagawa factors cp |
deg |
9273600 |
Modular degree for the optimal curve |
Δ |
-2.9308292923392E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35963263,83037079781] |
[a1,a2,a3,a4,a6] |
Generators |
[3635:-20718:1] |
Generators of the group modulo torsion |
j |
-13168640608031154224785/7502922988388352 |
j-invariant |
L |
9.5058891971675 |
L(r)(E,1)/r! |
Ω |
0.14107597096832 |
Real period |
R |
0.097654128616334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650bb1 |
Quadratic twists by: 5 |