Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800fe |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-134136000000000 = -1 · 212 · 36 · 59 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66000,6550000] |
[a1,a2,a3,a4,a6] |
j |
-5451776/23 |
j-invariant |
L |
2.3467818600653 |
L(r)(E,1)/r! |
Ω |
0.58669544791145 |
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 |
5175z1 9200bj1 82800fo1 |
Quadratic twists by: -4 -3 5 |