Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380f |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
165107834438400 = 28 · 37 · 52 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-199676,34403976] |
[a1,a2,a3,a4,a6] |
j |
700030176912848/131274675 |
j-invariant |
L |
1.1135304327394 |
L(r)(E,1)/r! |
Ω |
0.5567650752377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121380bk2 |
Quadratic twists by: 17 |