Atkin-Lehner |
2- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109040r |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-8.3020204699955E+20 |
Discriminant |
Eigenvalues |
2- 0 5- -5 -3 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10867787,13859363066] |
[a1,a2,a3,a4,a6] |
Generators |
[-923:152000:1] [4567:-243890:1] |
Generators of the group modulo torsion |
j |
-34656692913898160734881/202686046630750000 |
j-invariant |
L |
9.5124765362202 |
L(r)(E,1)/r! |
Ω |
0.15946015022658 |
Real period |
R |
0.35508485376411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630l1 |
Quadratic twists by: -4 |