Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bi |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2049062400 = -1 · 29 · 33 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,160,-2088] |
[a1,a2,a3,a4,a6] |
j |
879217912/4002075 |
j-invariant |
L |
1.4847296420152 |
L(r)(E,1)/r! |
Ω |
0.74236482101442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bv2 73920gi2 110880x2 |
Quadratic twists by: -4 8 -3 |