Atkin-Lehner |
2- 3+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700m |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-420468750000 = -1 · 24 · 32 · 510 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1867,-3738] |
[a1,a2,a3,a4,a6] |
j |
2877292544/1681875 |
j-invariant |
L |
3.3378565435088 |
L(r)(E,1)/r! |
Ω |
0.55630943723969 |
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 |
17940i1 |
Quadratic twists by: 5 |