Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976bo |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
470112119729989632 = 211 · 39 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3538731,-2562025466] |
[a1,a2,a3,a4,a6] |
Generators |
[17676683706274:-27504164734138863:7301384] |
Generators of the group modulo torsion |
j |
81344187038/7803 |
j-invariant |
L |
5.3138326454313 |
L(r)(E,1)/r! |
Ω |
0.11007537325494 |
Real period |
R |
24.137245636396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952bl2 19992o2 59976bh2 |
Quadratic twists by: -4 -3 -7 |