Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42848b |
Isogeny class |
Conductor |
42848 |
Conductor |
∏ cp |
2 |
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 |
[9:6:1] |
Generators of the group modulo torsion |
j |
7645373000/226291 |
j-invariant |
L |
8.386464160931 |
L(r)(E,1)/r! |
Ω |
1.8607301788248 |
Real period |
R |
2.2535411787181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42848k1 85696x1 |
Quadratic twists by: -4 8 |