Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464cc |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
709703569096704 = 214 · 35 · 72 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52835504,-147838871724] |
[a1,a2,a3,a4,a6] |
Generators |
[9028:333270:1] |
Generators of the group modulo torsion |
j |
3982367508813341135547697/173267472924 |
j-invariant |
L |
7.5482999201728 |
L(r)(E,1)/r! |
Ω |
0.055997429333025 |
Real period |
R |
3.3699314507378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999943721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558l3 |
Quadratic twists by: -4 |