Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200l |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
3379200 |
Modular degree for the optimal curve |
Δ |
-4.599777611E+20 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 11- 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18998408,-31896104812] |
[a1,a2,a3,a4,a6] |
Generators |
[6578:357500:1] |
Generators of the group modulo torsion |
j |
-23698747132646144258/14374305034375 |
j-invariant |
L |
5.0816960767905 |
L(r)(E,1)/r! |
Ω |
0.036155506969315 |
Real period |
R |
0.43922217031186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600c1 11440c1 |
Quadratic twists by: -4 5 |