Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960l |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2794176000000 = 212 · 34 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3585,-17775] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:100:1] [-15:180:1] |
Generators of the group modulo torsion |
j |
1244378161216/682171875 |
j-invariant |
L |
7.7748660846512 |
L(r)(E,1)/r! |
Ω |
0.65933201886737 |
Real period |
R |
0.49133478165314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bc2 73920go1 110880db2 |
Quadratic twists by: -4 8 -3 |