Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416ci |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1704256339968 = -1 · 219 · 36 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 1 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1908,54000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:224:1] |
Generators of the group modulo torsion |
j |
4019679/8918 |
j-invariant |
L |
4.3530580973847 |
L(r)(E,1)/r! |
Ω |
0.58344563675094 |
Real period |
R |
1.8652372316913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416gr1 1638g1 5824g1 |
Quadratic twists by: -4 8 -3 |