Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640m |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
10833920 = 212 · 5 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -3 4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,75] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
11776/5 |
j-invariant |
L |
4.001231567092 |
L(r)(E,1)/r! |
Ω |
2.0564425417365 |
Real period |
R |
0.97285275308497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999762905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84640c1 84640w1 |
Quadratic twists by: -4 -23 |