Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960s |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1445818429440 = 212 · 35 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5761,-159985] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:84:1] |
Generators of the group modulo torsion |
j |
5163364362304/352983015 |
j-invariant |
L |
7.5051086943036 |
L(r)(E,1)/r! |
Ω |
0.55034206439994 |
Real period |
R |
0.34092926834908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960be2 73920bx1 110880dy2 |
Quadratic twists by: -4 8 -3 |