Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380x |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-33089710590720 = -1 · 28 · 32 · 5 · 7 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24661,1507895] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1734:1] |
Generators of the group modulo torsion |
j |
-268435456/5355 |
j-invariant |
L |
5.4765916753693 |
L(r)(E,1)/r! |
Ω |
0.65631287506691 |
Real period |
R |
0.34768679315003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7140g1 |
Quadratic twists by: 17 |