Atkin-Lehner |
2+ 3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
59160h |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-3.9315442224816E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-928080,-457950672] |
[a1,a2,a3,a4,a6] |
Generators |
[1251:18450:1] |
Generators of the group modulo torsion |
j |
-86333722053578038084/38393986547671875 |
j-invariant |
L |
9.161450332313 |
L(r)(E,1)/r! |
Ω |
0.075286480727165 |
Real period |
R |
4.0562618253748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320e2 |
Quadratic twists by: -4 |