Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930q |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
4654722065004800 = 28 · 52 · 173 · 236 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1350813,-604387144] |
[a1,a2,a3,a4,a6] |
Generators |
[2035:70222:1] |
Generators of the group modulo torsion |
j |
1841373668746009/31443200 |
j-invariant |
L |
1.5998842524308 |
L(r)(E,1)/r! |
Ω |
0.14003971887609 |
Real period |
R |
5.7122517425011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999755744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
170b1 |
Quadratic twists by: -23 |