Atkin-Lehner |
2- 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bk |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
416638080 = 27 · 36 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-428,-3153] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:15:1] |
Generators of the group modulo torsion |
j |
11867954041/571520 |
j-invariant |
L |
11.932986216043 |
L(r)(E,1)/r! |
Ω |
1.0529624142286 |
Real period |
R |
0.80948393500573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930e1 |
Quadratic twists by: -3 |