Atkin-Lehner |
3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105393p |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1011360 |
Modular degree for the optimal curve |
Δ |
-12658320900641883 = -1 · 3 · 192 · 438 |
Discriminant |
Eigenvalues |
0 3- -4 -1 -2 3 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,53005,-2673055] |
[a1,a2,a3,a4,a6] |
Generators |
[16301505:411137020:29791] |
Generators of the group modulo torsion |
j |
1409024/1083 |
j-invariant |
L |
5.3121088290825 |
L(r)(E,1)/r! |
Ω |
0.2229309162231 |
Real period |
R |
11.914248932282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999396009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105393b1 |
Quadratic twists by: -43 |