Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bo |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1814351063040000 = 214 · 36 · 54 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208896,-36622080] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:112:1] |
Generators of the group modulo torsion |
j |
246125275545120769/442956802500 |
j-invariant |
L |
2.6943048022472 |
L(r)(E,1)/r! |
Ω |
0.22333860567169 |
Real period |
R |
3.0159416192372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067314 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14790x2 |
Quadratic twists by: -4 |