Atkin-Lehner |
3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341w |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
1.259939273683E+25 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-82289628,-231064177527] |
[a1,a2,a3,a4,a6] |
Generators |
[-3429:105597:1] |
Generators of the group modulo torsion |
j |
179665582406872988704990375/36732923430992543938401 |
j-invariant |
L |
4.7655617898518 |
L(r)(E,1)/r! |
Ω |
0.050845928708887 |
Real period |
R |
0.78104611111961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103341f2 |
Quadratic twists by: -7 |