Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
46728a |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
264667392 = 28 · 33 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38295,-2884438] |
[a1,a2,a3,a4,a6] |
j |
898558184358000/38291 |
j-invariant |
L |
2.730260112414 |
L(r)(E,1)/r! |
Ω |
0.34128251403893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456c1 46728m1 |
Quadratic twists by: -4 -3 |