Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160h |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-19557761328230400 = -1 · 212 · 34 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72761,-10092135] |
[a1,a2,a3,a4,a6] |
Generators |
[2528:126315:1] |
Generators of the group modulo torsion |
j |
-4410944/2025 |
j-invariant |
L |
3.4098045871758 |
L(r)(E,1)/r! |
Ω |
0.14219859189792 |
Real period |
R |
5.9947930894356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160co2 58080cd1 116160c2 |
Quadratic twists by: -4 8 -11 |