Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27830w |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-112051233250 = -1 · 2 · 53 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 1 11- 6 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,905,12607] |
[a1,a2,a3,a4,a6] |
j |
46268279/63250 |
j-invariant |
L |
8.5364907528311 |
L(r)(E,1)/r! |
Ω |
0.7113742294026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530d1 |
Quadratic twists by: -11 |