Atkin-Lehner |
3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469k |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-5225898951 = -1 · 35 · 74 · 132 · 53 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,56,3479] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:56:1] [-5:58:1] |
Generators of the group modulo torsion |
j |
19400056703/5225898951 |
j-invariant |
L |
4.7540750095382 |
L(r)(E,1)/r! |
Ω |
1.0536971123113 |
Real period |
R |
0.45118041550968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43407k1 101283l1 |
Quadratic twists by: -3 -7 |