Atkin-Lehner |
2+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222f |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
804358416717320192 = 212 · 72 · 138 · 173 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-800726,272323560] |
[a1,a2,a3,a4,a6] |
Generators |
[-2098:173425:8] [300:7539:1] |
Generators of the group modulo torsion |
j |
11762905557390625/166643929088 |
j-invariant |
L |
4.8934757165885 |
L(r)(E,1)/r! |
Ω |
0.28356366610793 |
Real period |
R |
1.4380884851937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3094i1 |
Quadratic twists by: 13 |