Atkin-Lehner |
5+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
97825n |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.965560655145E+19 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10496805,13088056322] |
[a1,a2,a3,a4,a6] |
Generators |
[-2002:162480:1] |
Generators of the group modulo torsion |
j |
8186062108960937489625/3177958819292803 |
j-invariant |
L |
4.0772226535893 |
L(r)(E,1)/r! |
Ω |
0.19705775501612 |
Real period |
R |
2.5863119697434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3913a2 |
Quadratic twists by: 5 |