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 |
Δ |
-7293160000000000 = -1 · 212 · 510 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59360,-6899008] |
[a1,a2,a3,a4,a6] |
Generators |
[3034:166530:1] |
Generators of the group modulo torsion |
j |
-5647454716105441/1780556640625 |
j-invariant |
L |
8.7131552555836 |
L(r)(E,1)/r! |
Ω |
0.15050610363879 |
Real period |
R |
2.8946185719136 |
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 |
2135g2 |
Quadratic twists by: -4 |