Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160bg |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1874700800000 = 212 · 55 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63280,-6105600] |
[a1,a2,a3,a4,a6] |
Generators |
[360:4200:1] |
Generators of the group modulo torsion |
j |
6841794706150321/457690625 |
j-invariant |
L |
8.7131552555836 |
L(r)(E,1)/r! |
Ω |
0.30101220727758 |
Real period |
R |
1.4473092859568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2135g1 |
Quadratic twists by: -4 |