Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320r |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
503986406400 = 210 · 34 · 52 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7416,-245916] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:42:1] |
Generators of the group modulo torsion |
j |
44054622016996/492174225 |
j-invariant |
L |
8.3102248025917 |
L(r)(E,1)/r! |
Ω |
0.51480818018193 |
Real period |
R |
2.0177964165807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915905 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59160o2 |
Quadratic twists by: -4 |