Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bi |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.2436331203072E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20731280,36233534972] |
[a1,a2,a3,a4,a6] |
Generators |
[13108727372004:-1395991106785445:1036433728] |
Generators of the group modulo torsion |
j |
86507645152456935217/284763401508447 |
j-invariant |
L |
4.624784779288 |
L(r)(E,1)/r! |
Ω |
0.1421557969458 |
Real period |
R |
16.266606349442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32775t6 3933a5 |
Quadratic twists by: -3 5 |