Atkin-Lehner |
2- 3+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484d |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
431645542478592 = 28 · 3 · 139 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1863788,979982184] |
[a1,a2,a3,a4,a6] |
Generators |
[6330:1041:8] [2176790:632113:2744] |
Generators of the group modulo torsion |
j |
263744458000/159 |
j-invariant |
L |
10.4396382355 |
L(r)(E,1)/r! |
Ω |
0.43657321339723 |
Real period |
R |
47.825372314608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107484e2 |
Quadratic twists by: 13 |