Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
68770t |
Isogeny class |
Conductor |
68770 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1144332800 = -1 · 29 · 52 · 132 · 232 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -4 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42,1641] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:31:1] [-9:39:1] |
Generators of the group modulo torsion |
j |
-15145569/2163200 |
j-invariant |
L |
9.6535422441299 |
L(r)(E,1)/r! |
Ω |
1.2643134847179 |
Real period |
R |
0.21209451173895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68770o1 |
Quadratic twists by: -23 |