Atkin-Lehner |
2+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400n |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22656 |
Modular degree for the optimal curve |
Δ |
5170000 = 24 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 11- 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283,1738] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1:1] |
Generators of the group modulo torsion |
j |
251545600/517 |
j-invariant |
L |
5.5974164879566 |
L(r)(E,1)/r! |
Ω |
2.4252508451013 |
Real period |
R |
1.1539871195262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400bi1 |
Quadratic twists by: 5 |