Atkin-Lehner |
2+ 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58528a |
Isogeny class |
Conductor |
58528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5696 |
Modular degree for the optimal curve |
Δ |
-6906304 = -1 · 26 · 31 · 592 |
Discriminant |
Eigenvalues |
2+ 0 2 0 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29,140] |
[a1,a2,a3,a4,a6] |
Generators |
[43:280:1] |
Generators of the group modulo torsion |
j |
-42144192/107911 |
j-invariant |
L |
7.2554543297902 |
L(r)(E,1)/r! |
Ω |
2.0891351788668 |
Real period |
R |
3.4729463192305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58528b1 117056b1 |
Quadratic twists by: -4 8 |