Atkin-Lehner |
2- 3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528bb |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1114629988423827456 = 226 · 32 · 72 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12568592,17146286100] |
[a1,a2,a3,a4,a6] |
Generators |
[63380988:190207290:29791] |
Generators of the group modulo torsion |
j |
53607269151751549932433/272126462017536 |
j-invariant |
L |
9.1041567962376 |
L(r)(E,1)/r! |
Ω |
0.24372580148616 |
Real period |
R |
9.3385237892751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016787 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13566n2 |
Quadratic twists by: -4 |