Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5200d |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-9505100800 = -1 · 210 · 52 · 135 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 -1 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,272,4272] |
[a1,a2,a3,a4,a6] |
Generators |
[6:78:1] |
Generators of the group modulo torsion |
j |
86614940/371293 |
j-invariant |
L |
4.8892684144481 |
L(r)(E,1)/r! |
Ω |
0.92557931420322 |
Real period |
R |
2.6411936499775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2600i1 20800di1 46800u1 5200l1 |
Quadratic twists by: -4 8 -3 5 |