Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52514bc |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-48539503897708208 = -1 · 24 · 73 · 1111 · 31 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-459984,120506288] |
[a1,a2,a3,a4,a6] |
Generators |
[406:644:1] |
Generators of the group modulo torsion |
j |
-6075693217857817/27399284528 |
j-invariant |
L |
10.374700598381 |
L(r)(E,1)/r! |
Ω |
0.35914335905685 |
Real period |
R |
1.2036396628162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774a1 |
Quadratic twists by: -11 |