Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14300b |
Isogeny class |
Conductor |
14300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122400 |
Modular degree for the optimal curve |
Δ |
112316132500000000 = 28 · 510 · 112 · 135 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11+ 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273333,52495463] |
[a1,a2,a3,a4,a6] |
j |
903361331200/44926453 |
j-invariant |
L |
2.6322049460327 |
L(r)(E,1)/r! |
Ω |
0.32902561825409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200bp1 128700t1 14300j1 |
Quadratic twists by: -4 -3 5 |