Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400bg |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-2170800 = -1 · 24 · 34 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3,-72] |
[a1,a2,a3,a4,a6] |
Generators |
[12:42:1] |
Generators of the group modulo torsion |
j |
-10240/5427 |
j-invariant |
L |
8.8569092673763 |
L(r)(E,1)/r! |
Ω |
1.1699903298088 |
Real period |
R |
1.8925176223546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200b1 80400n1 |
Quadratic twists by: -4 5 |