Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920ce |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-65813653440000 = -1 · 29 · 314 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,-391714] |
[a1,a2,a3,a4,a6] |
Generators |
[817:23310:1] |
Generators of the group modulo torsion |
j |
-2186875592/176326875 |
j-invariant |
L |
8.234078827441 |
L(r)(E,1)/r! |
Ω |
0.27346703252618 |
Real period |
R |
3.7637438193327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920bz2 123840eu3 20640c4 |
Quadratic twists by: -4 8 -3 |