Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496f |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-42005207494656 = -1 · 212 · 39 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 4 1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57672,-5339952] |
[a1,a2,a3,a4,a6] |
Generators |
[633:14553:1] |
Generators of the group modulo torsion |
j |
-263128269312/521017 |
j-invariant |
L |
8.2110512362892 |
L(r)(E,1)/r! |
Ω |
0.15401987761755 |
Real period |
R |
2.6655816648969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496y1 124992x1 62496bc1 |
Quadratic twists by: -4 8 -3 |