Atkin-Lehner |
3+ 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065c |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1240739375484375 = -1 · 33 · 56 · 135 · 892 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12081,1612800] |
[a1,a2,a3,a4,a6] |
Generators |
[678:14061:8] |
Generators of the group modulo torsion |
j |
7221848602724757/45953310203125 |
j-invariant |
L |
8.6237828339494 |
L(r)(E,1)/r! |
Ω |
0.35165163865964 |
Real period |
R |
4.0872755334707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52065a1 |
Quadratic twists by: -3 |