Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70180h |
Isogeny class |
Conductor |
70180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
1090668704472050000 = 24 · 55 · 1110 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105996161,-420068239736] |
[a1,a2,a3,a4,a6] |
Generators |
[97555:30293197:1] |
Generators of the group modulo torsion |
j |
4646415367355940880384/38478378125 |
j-invariant |
L |
1.9772180150992 |
L(r)(E,1)/r! |
Ω |
0.04705188430996 |
Real period |
R |
7.0036798881187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6380c1 |
Quadratic twists by: -11 |