Atkin-Lehner |
2- 3- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030bp |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6030881451562500 = 22 · 38 · 58 · 132 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-663782,-207955119] |
[a1,a2,a3,a4,a6] |
j |
44368217824522646809/8272814062500 |
j-invariant |
L |
2.6761970083373 |
L(r)(E,1)/r! |
Ω |
0.16726231262809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23010a2 |
Quadratic twists by: -3 |