Atkin-Lehner |
2+ 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024b |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
66917456119808 = 211 · 76 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15875,661666] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:868:1] [-81:1190:1] |
Generators of the group modulo torsion |
j |
216040394531250/32674539121 |
j-invariant |
L |
9.591779463268 |
L(r)(E,1)/r! |
Ω |
0.59294332636122 |
Real period |
R |
0.67402306404091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29512a2 |
Quadratic twists by: -4 |