Atkin-Lehner |
2- 3+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
84624j |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-4496580864 = -1 · 28 · 35 · 412 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 -5 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1596,-24228] |
[a1,a2,a3,a4,a6] |
Generators |
[26286:270559:216] |
Generators of the group modulo torsion |
j |
-1757334737104/17564769 |
j-invariant |
L |
5.0573220753374 |
L(r)(E,1)/r! |
Ω |
0.37742428960714 |
Real period |
R |
6.6997835243444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21156d1 |
Quadratic twists by: -4 |