Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960dc |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
370143707270400 = 28 · 35 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-445916,114459120] |
[a1,a2,a3,a4,a6] |
Generators |
[382:90:1] [-488:14700:1] |
Generators of the group modulo torsion |
j |
325578447230416/12289725 |
j-invariant |
L |
12.488786431765 |
L(r)(E,1)/r! |
Ω |
0.50258370080348 |
Real period |
R |
0.31061459048881 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bi2 |
Quadratic twists by: -7 |