Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960j |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-420952299386572800 = -1 · 212 · 33 · 52 · 712 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117265,-34793663] |
[a1,a2,a3,a4,a6] |
j |
-43538422690006336/102771557467425 |
j-invariant |
L |
0.96345428892463 |
L(r)(E,1)/r! |
Ω |
0.12043178611334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bb2 73920gn1 110880cy2 |
Quadratic twists by: -4 8 -3 |