Atkin-Lehner |
5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14455c |
Isogeny class |
Conductor |
14455 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-162754293857421875 = -1 · 510 · 710 · 59 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- -6 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9554,19407415] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:4025:1] [258:6121:1] |
Generators of the group modulo torsion |
j |
341425679/576171875 |
j-invariant |
L |
4.7456128173715 |
L(r)(E,1)/r! |
Ω |
0.25312043646154 |
Real period |
R |
9.374219015487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72275f1 14455e1 |
Quadratic twists by: 5 -7 |