Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200i |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54910000000000 = 210 · 510 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -6 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13675,-501750] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:324:1] [-45:150:1] |
Generators of the group modulo torsion |
j |
17676070884/3431875 |
j-invariant |
L |
12.047256281431 |
L(r)(E,1)/r! |
Ω |
0.44745247513808 |
Real period |
R |
6.7310256158462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64600y2 25840d2 |
Quadratic twists by: -4 5 |