Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960m |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
62240270400 = 26 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1930,31000] |
[a1,a2,a3,a4,a6] |
Generators |
[6:140:1] |
Generators of the group modulo torsion |
j |
12429128234944/972504225 |
j-invariant |
L |
5.0999776761409 |
L(r)(E,1)/r! |
Ω |
1.0822445839004 |
Real period |
R |
2.3562038341462 |
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 |
36960bu1 73920cc2 110880cu1 |
Quadratic twists by: -4 8 -3 |