Atkin-Lehner |
2- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71300c |
Isogeny class |
Conductor |
71300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-71300000000 = -1 · 28 · 58 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 0 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,-12812] |
[a1,a2,a3,a4,a6] |
Generators |
[3867:240502:1] |
Generators of the group modulo torsion |
j |
21296/17825 |
j-invariant |
L |
8.4365380386011 |
L(r)(E,1)/r! |
Ω |
0.51043987835546 |
Real period |
R |
8.2639879795221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14260a1 |
Quadratic twists by: 5 |