Atkin-Lehner |
3+ 5- 29- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
116145d |
Isogeny class |
Conductor |
116145 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41088 |
Modular degree for the optimal curve |
Δ |
1270045575 = 39 · 52 · 29 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5- -1 0 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272,244] |
[a1,a2,a3,a4,a6] |
Generators |
[22:56:1] |
Generators of the group modulo torsion |
j |
112678587/64525 |
j-invariant |
L |
4.6759960521528 |
L(r)(E,1)/r! |
Ω |
1.3101205901416 |
Real period |
R |
0.89228351389768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116145a1 |
Quadratic twists by: -3 |