Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
48800o |
Isogeny class |
Conductor |
48800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
-3904000 = -1 · 29 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- -2 2 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248,1592] |
[a1,a2,a3,a4,a6] |
j |
-26463592/61 |
j-invariant |
L |
4.9690862817298 |
L(r)(E,1)/r! |
Ω |
2.4845431412068 |
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 |
48800h1 97600bd1 48800g1 |
Quadratic twists by: -4 8 5 |