Atkin-Lehner |
7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
14651k |
Isogeny class |
Conductor |
14651 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
591220696157 = 711 · 13 · 23 |
Discriminant |
Eigenvalues |
2 -2 -2 7- 3 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8934,319953] |
[a1,a2,a3,a4,a6] |
Generators |
[394:339:8] |
Generators of the group modulo torsion |
j |
670381355008/5025293 |
j-invariant |
L |
5.5737055104683 |
L(r)(E,1)/r! |
Ω |
0.92228956722821 |
Real period |
R |
3.021667873366 |
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 |
2093j1 |
Quadratic twists by: -7 |