Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416bc |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-11218701312 = -1 · 210 · 33 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,480,-3096] |
[a1,a2,a3,a4,a6] |
Generators |
[10:52:1] |
Generators of the group modulo torsion |
j |
442368000/405769 |
j-invariant |
L |
7.4033386962509 |
L(r)(E,1)/r! |
Ω |
0.69956069110428 |
Real period |
R |
1.3228549699901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416dx1 3276d1 52416bd1 |
Quadratic twists by: -4 8 -3 |