Atkin-Lehner |
2- 3+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264z |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-86398427602944 = -1 · 213 · 33 · 173 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 3 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19251,1121138] |
[a1,a2,a3,a4,a6] |
Generators |
[97:408:1] |
Generators of the group modulo torsion |
j |
-7134439870251/781235782 |
j-invariant |
L |
9.4557790798207 |
L(r)(E,1)/r! |
Ω |
0.58955724976682 |
Real period |
R |
0.66828250484397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999839954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13158c1 105264u2 |
Quadratic twists by: -4 -3 |