Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380y |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
2.1982791620791E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3833681,1803897144] |
[a1,a2,a3,a4,a6] |
Generators |
[16614332523:2825807139375:571787] |
Generators of the group modulo torsion |
j |
16134601070166016/5692058203125 |
j-invariant |
L |
9.0214617274529 |
L(r)(E,1)/r! |
Ω |
0.13418874283932 |
Real period |
R |
11.204941046745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140h1 |
Quadratic twists by: 17 |