Atkin-Lehner |
2+ 3- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030u |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-28859159487600 = -1 · 24 · 313 · 52 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1791,256365] |
[a1,a2,a3,a4,a6] |
j |
871257511151/39587324400 |
j-invariant |
L |
2.0129805770508 |
L(r)(E,1)/r! |
Ω |
0.50324514399766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010o1 |
Quadratic twists by: -3 |