Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
2562j |
Isogeny class |
Conductor |
2562 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-14887575523296 = -1 · 25 · 33 · 710 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 4 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5597,-248173] |
[a1,a2,a3,a4,a6] |
Generators |
[1043:33092:1] |
Generators of the group modulo torsion |
j |
-19390744433389393/14887575523296 |
j-invariant |
L |
3.466083952614 |
L(r)(E,1)/r! |
Ω |
0.26711569560364 |
Real period |
R |
1.2975965132941 |
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 |
20496bc1 81984u1 7686g1 64050bd1 |
Quadratic twists by: -4 8 -3 5 |