Atkin-Lehner |
2- 3- 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450cf |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1213056 |
Modular degree for the optimal curve |
Δ |
-157313174335819200 = -1 · 26 · 318 · 52 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36138,19262052] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:4470:1] |
Generators of the group modulo torsion |
j |
-208774184151015625/6292526973432768 |
j-invariant |
L |
15.48307514359 |
L(r)(E,1)/r! |
Ω |
0.27059124467362 |
Real period |
R |
0.52980948004187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450s1 |
Quadratic twists by: 5 |