Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960m |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21251704320 = 29 · 34 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30280,2038180] |
[a1,a2,a3,a4,a6] |
Generators |
[4072:259578:1] |
Generators of the group modulo torsion |
j |
5997022885546568/41507235 |
j-invariant |
L |
5.0999776761409 |
L(r)(E,1)/r! |
Ω |
1.0822445839004 |
Real period |
R |
4.7124076682924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960bu4 73920cc4 110880cu4 |
Quadratic twists by: -4 8 -3 |