Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dg |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1249634304000 = 214 · 39 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1428435,-657111150] |
[a1,a2,a3,a4,a6] |
Generators |
[1519:26038:1] |
Generators of the group modulo torsion |
j |
31984819729407/124 |
j-invariant |
L |
3.8706743299402 |
L(r)(E,1)/r! |
Ω |
0.13809706039411 |
Real period |
R |
7.007162783919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950k2 111600df2 111600de2 |
Quadratic twists by: -4 -3 5 |