Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
42848k |
Isogeny class |
Conductor |
42848 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
115860992 = 29 · 133 · 103 |
Discriminant |
Eigenvalues |
2- -2 0 1 -3 13+ 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-328,-2340] |
[a1,a2,a3,a4,a6] |
Generators |
[27:96:1] |
Generators of the group modulo torsion |
j |
7645373000/226291 |
j-invariant |
L |
4.0793426567853 |
L(r)(E,1)/r! |
Ω |
1.1235876269741 |
Real period |
R |
3.6306404225681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42848b1 85696bc1 |
Quadratic twists by: -4 8 |