Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920cr |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1671833331302400 = 217 · 39 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3613707,-2644097094] |
[a1,a2,a3,a4,a6] |
Generators |
[-360393141:89110:328509] |
Generators of the group modulo torsion |
j |
64733826967442667/20736800 |
j-invariant |
L |
9.4803195121771 |
L(r)(E,1)/r! |
Ω |
0.10949929645129 |
Real period |
R |
10.822352070635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bh2 115920ch2 |
Quadratic twists by: -4 -3 |