Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120t |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-45709466852582400 = -1 · 210 · 3 · 52 · 712 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29584,10088316] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:2156:1] |
Generators of the group modulo torsion |
j |
2796274207315004/44638151223225 |
j-invariant |
L |
4.9491782685243 |
L(r)(E,1)/r! |
Ω |
0.26697680147751 |
Real period |
R |
1.5448215728655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240s3 108360r3 |
Quadratic twists by: -4 -3 |