Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340u |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1966586791680 = 28 · 312 · 5 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14727,684574] |
[a1,a2,a3,a4,a6] |
Generators |
[95:378:1] |
Generators of the group modulo torsion |
j |
1892775382864/10537695 |
j-invariant |
L |
6.3849043994303 |
L(r)(E,1)/r! |
Ω |
0.83449248830626 |
Real period |
R |
1.2752070849565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780h2 |
Quadratic twists by: -3 |