Atkin-Lehner |
2+ 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040h |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
338130000 = 24 · 32 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2691,54630] |
[a1,a2,a3,a4,a6] |
Generators |
[98:850:1] |
Generators of the group modulo torsion |
j |
134742996281344/21133125 |
j-invariant |
L |
4.7499969751405 |
L(r)(E,1)/r! |
Ω |
1.6528874589555 |
Real period |
R |
1.4368785211059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520g1 |
Quadratic twists by: -4 |