Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024bf |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-103707648 = -1 · 210 · 33 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 0 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304,2000] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-12:1] |
Generators of the group modulo torsion |
j |
-25158628/837 |
j-invariant |
L |
5.9724922353325 |
L(r)(E,1)/r! |
Ω |
1.8765022549767 |
Real period |
R |
0.530463190663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90024n1 |
Quadratic twists by: -11 |