Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960m |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8485369643520 = -1 · 29 · 316 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1920,135720] |
[a1,a2,a3,a4,a6] |
Generators |
[61:690:1] |
Generators of the group modulo torsion |
j |
1528027683832/16572987585 |
j-invariant |
L |
5.0999776761409 |
L(r)(E,1)/r! |
Ω |
0.54112229195022 |
Real period |
R |
4.7124076682924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bu2 73920cc3 110880cu2 |
Quadratic twists by: -4 8 -3 |