Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416cj |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1152077285818368 = -1 · 221 · 36 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111180,14361968] |
[a1,a2,a3,a4,a6] |
Generators |
[206:448:1] |
Generators of the group modulo torsion |
j |
-795309684625/6028568 |
j-invariant |
L |
5.7741143717265 |
L(r)(E,1)/r! |
Ω |
0.49060967251002 |
Real period |
R |
0.98077193459879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416en2 1638j2 5824i2 |
Quadratic twists by: -4 8 -3 |