Atkin-Lehner |
2+ 5- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550t |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-294151000 = -1 · 23 · 53 · 113 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- -5 11+ 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,115,725] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] |
Generators of the group modulo torsion |
j |
1327373299/2353208 |
j-invariant |
L |
4.2979128558817 |
L(r)(E,1)/r! |
Ω |
1.1864950800328 |
Real period |
R |
1.8111802344337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999568752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550ca1 |
Quadratic twists by: 5 |