Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5700o |
Isogeny class |
Conductor |
5700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18000 |
Modular degree for the optimal curve |
Δ |
46426856250000 = 24 · 3 · 58 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45958,3762713] |
[a1,a2,a3,a4,a6] |
j |
1717657250560/7428297 |
j-invariant |
L |
1.9229044004563 |
L(r)(E,1)/r! |
Ω |
0.64096813348544 |
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 |
22800cq1 91200cd1 17100bc1 5700a1 |
Quadratic twists by: -4 8 -3 5 |