Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664z |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-335358501060608 = -1 · 218 · 176 · 53 |
Discriminant |
Eigenvalues |
2- 0 0 -2 -6 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11540,740688] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:276:1] |
Generators of the group modulo torsion |
j |
648337611375/1279291157 |
j-invariant |
L |
3.1753204891209 |
L(r)(E,1)/r! |
Ω |
0.37336958611944 |
Real period |
R |
4.2522484516897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664f2 14416c2 |
Quadratic twists by: -4 8 |