Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600be |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
969475404960000000 = 211 · 38 · 57 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-504075,-129347750] |
[a1,a2,a3,a4,a6] |
Generators |
[1370:41850:1] |
Generators of the group modulo torsion |
j |
607199886722/41558445 |
j-invariant |
L |
7.1759375800801 |
L(r)(E,1)/r! |
Ω |
0.17994589687727 |
Real period |
R |
1.2461970680655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800bn3 37200u3 22320g3 |
Quadratic twists by: -4 -3 5 |