Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100x |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
161010828000000 = 28 · 35 · 56 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3920708,2986791588] |
[a1,a2,a3,a4,a6] |
Generators |
[1144:66:1] |
Generators of the group modulo torsion |
j |
1666315860501346000/40252707 |
j-invariant |
L |
9.2446113882933 |
L(r)(E,1)/r! |
Ω |
0.4174404346805 |
Real period |
R |
0.73819804737211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999729939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4884c2 |
Quadratic twists by: 5 |