Atkin-Lehner |
2- 3- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
59148j |
Isogeny class |
Conductor |
59148 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
189504 |
Modular degree for the optimal curve |
Δ |
-26700444419328 = -1 · 28 · 36 · 312 · 533 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -6 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5553,-190890] |
[a1,a2,a3,a4,a6] |
Generators |
[214:-3286:1] [103:1214:1] |
Generators of the group modulo torsion |
j |
101470368816/143070797 |
j-invariant |
L |
7.328807891986 |
L(r)(E,1)/r! |
Ω |
0.35483670062283 |
Real period |
R |
1.1474461161559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6572c1 |
Quadratic twists by: -3 |