Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960b |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25354560000 = -1 · 29 · 3 · 54 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-7644] |
[a1,a2,a3,a4,a6] |
Generators |
[618:5325:8] |
Generators of the group modulo torsion |
j |
-38614472/49520625 |
j-invariant |
L |
4.6089909008831 |
L(r)(E,1)/r! |
Ω |
0.53886612496358 |
Real period |
R |
4.2765639621484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bq2 73920dk3 110880dn2 |
Quadratic twists by: -4 8 -3 |