Atkin-Lehner |
3- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775i |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.4747127703912E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5348124,3387884023] |
[a1,a2,a3,a4,a6] |
Generators |
[-443:30746:1] |
Generators of the group modulo torsion |
j |
1082700175629419125199/943816173050390625 |
j-invariant |
L |
11.520330168559 |
L(r)(E,1)/r! |
Ω |
0.081154253572827 |
Real period |
R |
4.4361238391718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999678582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755e5 |
Quadratic twists by: 5 |