Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280s |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-9256878080 = -1 · 214 · 5 · 173 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136,-4624] |
[a1,a2,a3,a4,a6] |
Generators |
[20:16:1] [34:170:1] |
Generators of the group modulo torsion |
j |
-68417929/2259980 |
j-invariant |
L |
6.1474595733351 |
L(r)(E,1)/r! |
Ω |
0.5649365203158 |
Real period |
R |
0.90680683467175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910b1 125120de1 |
Quadratic twists by: -4 8 |