Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21424j |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
11232346112 = 223 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 2 -4 3 5 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-560,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[34:138:1] |
Generators of the group modulo torsion |
j |
4750104241/2742272 |
j-invariant |
L |
6.6178014634933 |
L(r)(E,1)/r! |
Ω |
1.0710474048394 |
Real period |
R |
3.0894064229052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678i1 85696ce1 |
Quadratic twists by: -4 8 |