Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
59150t |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-2319734237843750 = -1 · 2 · 56 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69801,-7472502] |
[a1,a2,a3,a4,a6] |
Generators |
[26396466:487555128:50653] |
Generators of the group modulo torsion |
j |
-226981/14 |
j-invariant |
L |
4.8468307290926 |
L(r)(E,1)/r! |
Ω |
0.1463379556449 |
Real period |
R |
8.2802009703893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366n1 59150br1 |
Quadratic twists by: 5 13 |