Atkin-Lehner |
2- 3- 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104346bp |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
235520 |
Modular degree for the optimal curve |
Δ |
-15839502421248 = -1 · 28 · 36 · 115 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5110,-131255] |
[a1,a2,a3,a4,a6] |
Generators |
[25:95:1] |
Generators of the group modulo torsion |
j |
20245968606375/21727712512 |
j-invariant |
L |
12.206824038176 |
L(r)(E,1)/r! |
Ω |
0.3774132666439 |
Real period |
R |
2.0214617998855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11594b1 |
Quadratic twists by: -3 |