Atkin-Lehner |
2- 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680ba |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
2684000000 = 28 · 56 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3620,82600] |
[a1,a2,a3,a4,a6] |
Generators |
[55:230:1] |
Generators of the group modulo torsion |
j |
20498846518096/10484375 |
j-invariant |
L |
4.9959135701039 |
L(r)(E,1)/r! |
Ω |
1.4190011284964 |
Real period |
R |
2.347150386141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13420i2 |
Quadratic twists by: -4 |