Atkin-Lehner |
2- 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314n |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-274616776 = -1 · 23 · 74 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 0 -6 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34,809] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:203:8] [-1:29:1] |
Generators of the group modulo torsion |
j |
-1760913/114376 |
j-invariant |
L |
11.182005495291 |
L(r)(E,1)/r! |
Ω |
1.4366935636086 |
Real period |
R |
1.2971921290352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48314s1 |
Quadratic twists by: -7 |