Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20496s |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-12379169488896 = -1 · 230 · 33 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 2 -4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2480,-161644] |
[a1,a2,a3,a4,a6] |
Generators |
[44:186:1] |
Generators of the group modulo torsion |
j |
411664745519/3022258176 |
j-invariant |
L |
6.509375728175 |
L(r)(E,1)/r! |
Ω |
0.35422245769856 |
Real period |
R |
3.0627531685726 |
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 |
2562k1 81984bp1 61488u1 |
Quadratic twists by: -4 8 -3 |