Atkin-Lehner |
3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14703c |
Isogeny class |
Conductor |
14703 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
573417 = 32 · 133 · 29 |
Discriminant |
Eigenvalues |
-1 3+ -4 -2 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-75,216] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:23:1] [1:11:1] |
Generators of the group modulo torsion |
j |
21253933/261 |
j-invariant |
L |
2.8451539141808 |
L(r)(E,1)/r! |
Ω |
2.919179001102 |
Real period |
R |
0.97464181302552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44109ba1 14703b1 |
Quadratic twists by: -3 13 |