Atkin-Lehner |
2+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24920a |
Isogeny class |
Conductor |
24920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6880 |
Modular degree for the optimal curve |
Δ |
-31150000 = -1 · 24 · 55 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-698,-7103] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1085:1] |
Generators of the group modulo torsion |
j |
-2350552725504/1946875 |
j-invariant |
L |
4.149509108106 |
L(r)(E,1)/r! |
Ω |
0.46439136104518 |
Real period |
R |
4.4676855085837 |
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 |
49840c1 124600q1 |
Quadratic twists by: -4 5 |