Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960d |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1101940224000 = 212 · 3 · 53 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98161,-11804639] |
[a1,a2,a3,a4,a6] |
Generators |
[6219:489760:1] |
Generators of the group modulo torsion |
j |
25537895799171904/269028375 |
j-invariant |
L |
4.3537477124744 |
L(r)(E,1)/r! |
Ω |
0.26972097255581 |
Real period |
R |
8.0708364485339 |
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 |
36960w4 73920hu1 110880dq4 |
Quadratic twists by: -4 8 -3 |