Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5700d |
Isogeny class |
Conductor |
5700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
80156250000 = 24 · 33 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1458,17037] |
[a1,a2,a3,a4,a6] |
Generators |
[11:47:1] |
Generators of the group modulo torsion |
j |
2195200/513 |
j-invariant |
L |
3.5538591772897 |
L(r)(E,1)/r! |
Ω |
1.0194913210584 |
Real period |
R |
3.4859141062626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22800cs1 91200cp1 17100u1 5700q1 |
Quadratic twists by: -4 8 -3 5 |