Atkin-Lehner |
2- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144j |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3214080 |
Modular degree for the optimal curve |
Δ |
-322754381816201216 = -1 · 216 · 73 · 17 · 615 |
Discriminant |
Eigenvalues |
2- -3 1 7+ 1 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1401067,638902042] |
[a1,a2,a3,a4,a6] |
Generators |
[597:3904:1] |
Generators of the group modulo torsion |
j |
-74257526057451329601/78797456498096 |
j-invariant |
L |
3.5680216701709 |
L(r)(E,1)/r! |
Ω |
0.30380837177612 |
Real period |
R |
0.58721581553253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000151928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14518f1 |
Quadratic twists by: -4 |