Atkin-Lehner |
2- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720p |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
383616 |
Modular degree for the optimal curve |
Δ |
-106249433086720 = -1 · 28 · 5 · 79 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12341,-720055] |
[a1,a2,a3,a4,a6] |
Generators |
[5056067:98650134:12167] |
Generators of the group modulo torsion |
j |
-812026111197184/415036847995 |
j-invariant |
L |
9.3412141432726 |
L(r)(E,1)/r! |
Ω |
0.22114208656203 |
Real period |
R |
10.560194921829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999841702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26180a1 |
Quadratic twists by: -4 |