Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080z |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
1.394501184E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30358668,-61825464592] |
[a1,a2,a3,a4,a6] |
j |
16192145593815022369/729711914062500 |
j-invariant |
L |
0.2579871038801 |
L(r)(E,1)/r! |
Ω |
0.064496804658461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ea1 3690i1 39360t1 |
Quadratic twists by: -4 8 -3 |