Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976d |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
6655896576 = 210 · 33 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -2 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-483,1134] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-204:1] |
Generators of the group modulo torsion |
j |
9198252/4913 |
j-invariant |
L |
5.2572135319865 |
L(r)(E,1)/r! |
Ω |
1.1669955385452 |
Real period |
R |
0.37540942805642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952i1 59976x1 59976a1 |
Quadratic twists by: -4 -3 -7 |