Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080b |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2130035343360 = -1 · 228 · 3 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15681,-753855] |
[a1,a2,a3,a4,a6] |
Generators |
[3839975:49841368:15625] |
Generators of the group modulo torsion |
j |
-1626794704081/8125440 |
j-invariant |
L |
4.2387085507619 |
L(r)(E,1)/r! |
Ω |
0.21325247008565 |
Real period |
R |
9.9382402207568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080cq1 690j1 66240cv1 110400dn1 |
Quadratic twists by: -4 8 -3 5 |