Atkin-Lehner |
2+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
81400d |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6023600000000 = -1 · 210 · 58 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4325,-44250] |
[a1,a2,a3,a4,a6] |
Generators |
[14:138:1] [55:600:1] |
Generators of the group modulo torsion |
j |
559193436/376475 |
j-invariant |
L |
9.9399063078652 |
L(r)(E,1)/r! |
Ω |
0.42937524698977 |
Real period |
R |
5.7874239244083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16280h2 |
Quadratic twists by: 5 |