Atkin-Lehner |
3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525bm |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
3818166996877734375 = 311 · 58 · 77 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 2 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-476555,-84706428] |
[a1,a2,a3,a4,a6] |
j |
42031451330185/13408103583 |
j-invariant |
L |
0.37257400073652 |
L(r)(E,1)/r! |
Ω |
0.18628725534325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35175p1 105525v1 |
Quadratic twists by: -3 5 |