Atkin-Lehner |
3+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
51675n |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
50383125 = 32 · 54 · 132 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 3 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2083,37293] |
[a1,a2,a3,a4,a6] |
Generators |
[37:97:1] |
Generators of the group modulo torsion |
j |
1600000000000/80613 |
j-invariant |
L |
3.438739162677 |
L(r)(E,1)/r! |
Ω |
1.8898743084961 |
Real period |
R |
0.15162997644862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51675q1 |
Quadratic twists by: 5 |