Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104cb |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5.4621216874368E+28 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3972219552,95703270024960] |
[a1,a2,a3,a4,a6] |
Generators |
[-477070648770260688:-162049838327837167040:11754373469553] |
Generators of the group modulo torsion |
j |
70108386184777836280897/552468975892674624 |
j-invariant |
L |
7.449059978512 |
L(r)(E,1)/r! |
Ω |
0.035565629488405 |
Real period |
R |
26.180683713293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006593 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12138w3 5712t3 |
Quadratic twists by: -4 17 |