Atkin-Lehner |
2- 3+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240y |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
924324960092160000 = 217 · 3 · 54 · 113 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10917560,-13880984208] |
[a1,a2,a3,a4,a6] |
Generators |
[-16679531893394:-792765949750:8729091379] |
Generators of the group modulo torsion |
j |
35135049201404288637241/225665273460000 |
j-invariant |
L |
6.0731362508336 |
L(r)(E,1)/r! |
Ω |
0.083055485623606 |
Real period |
R |
18.280358675789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999704734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530k4 |
Quadratic twists by: -4 |