Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800cb |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-60980019200000000 = -1 · 220 · 58 · 533 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 0 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21633,11951137] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-3392:1] |
Generators of the group modulo torsion |
j |
-273359449/14887700 |
j-invariant |
L |
5.6763124613448 |
L(r)(E,1)/r! |
Ω |
0.29028613285619 |
Real period |
R |
0.81475824184991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800p1 21200e1 16960p1 |
Quadratic twists by: -4 8 5 |