Atkin-Lehner |
2- 5+ 23+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
116150r |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
-2835693359375000000 = -1 · 26 · 519 · 23 · 101 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 1 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1476688,694807281] |
[a1,a2,a3,a4,a6] |
j |
-22791344282667902521/181484375000000 |
j-invariant |
L |
3.0710360502641 |
L(r)(E,1)/r! |
Ω |
0.25591976530862 |
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 |
23230a1 |
Quadratic twists by: 5 |