Atkin-Lehner |
2- 3- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598r |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-21227817935636928 = -1 · 26 · 36 · 75 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121721,-17754663] |
[a1,a2,a3,a4,a6] |
Generators |
[695:14916:1] |
Generators of the group modulo torsion |
j |
-273583167734108233/29119091818432 |
j-invariant |
L |
7.109589391617 |
L(r)(E,1)/r! |
Ω |
0.12703545042927 |
Real period |
R |
4.6637830672462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622a1 |
Quadratic twists by: -3 |