Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120k |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
2.8598788521636E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 -3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3523827,2412561454] |
[a1,a2,a3,a4,a6] |
Generators |
[630:21038:1] |
Generators of the group modulo torsion |
j |
3241230881441497058/191553528228125 |
j-invariant |
L |
6.1409620082129 |
L(r)(E,1)/r! |
Ω |
0.17057545610327 |
Real period |
R |
7.2002879539637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8680i1 |
Quadratic twists by: -3 |