Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bj |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.2755613641605E+22 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23018675,-42853700750] |
[a1,a2,a3,a4,a6] |
Generators |
[310590:173072900:1] |
Generators of the group modulo torsion |
j |
-21075830718885163521/199306463150080 |
j-invariant |
L |
5.3564343598804 |
L(r)(E,1)/r! |
Ω |
0.034443281631551 |
Real period |
R |
6.4797764446196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150a1 11440s1 |
Quadratic twists by: -4 5 |