Atkin-Lehner |
2- 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328o |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
1.1451485413052E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11- -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44438901,114026351229] |
[a1,a2,a3,a4,a6] |
j |
2369483583201884848881664/279577280592078381 |
j-invariant |
L |
0.5938443370059 |
L(r)(E,1)/r! |
Ω |
0.14846108423692 |
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 |
3333d1 |
Quadratic twists by: -4 |