Atkin-Lehner |
2+ 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040b |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-600009488000000 = -1 · 210 · 56 · 135 · 101 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-532243,-149460542] |
[a1,a2,a3,a4,a6] |
Generators |
[1158729:9123250:1331] |
Generators of the group modulo torsion |
j |
-16283720169275713956/585946765625 |
j-invariant |
L |
3.1293589555261 |
L(r)(E,1)/r! |
Ω |
0.088377381892354 |
Real period |
R |
8.8522620753964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999083904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52520b1 |
Quadratic twists by: -4 |