Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600bt |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-102000000000 = -1 · 210 · 3 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 3 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1167,537] |
[a1,a2,a3,a4,a6] |
j |
87808/51 |
j-invariant |
L |
1.2787387963981 |
L(r)(E,1)/r! |
Ω |
0.63936941514565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600jm1 10200bo1 81600fd1 |
Quadratic twists by: -4 8 5 |