Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2600h |
Isogeny class |
Conductor |
2600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
32500000000 = 28 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -2 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,2963] |
[a1,a2,a3,a4,a6] |
j |
25600/13 |
j-invariant |
L |
2.0642015165858 |
L(r)(E,1)/r! |
Ω |
1.0321007582929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5200a1 20800y1 23400f1 2600f1 |
Quadratic twists by: -4 8 -3 5 |