Atkin-Lehner |
5+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59675f |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1756272546875 = -1 · 56 · 73 · 11 · 313 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 11- 2 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11288,-466933] |
[a1,a2,a3,a4,a6] |
Generators |
[437:8619:1] |
Generators of the group modulo torsion |
j |
-10180218348217/112401443 |
j-invariant |
L |
4.5893015445277 |
L(r)(E,1)/r! |
Ω |
0.23143518828844 |
Real period |
R |
3.304958059236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2387a1 |
Quadratic twists by: 5 |