Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112bb |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1599119813747456 = -1 · 28 · 76 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81797,-9234961] |
[a1,a2,a3,a4,a6] |
Generators |
[64398:3121937:27] |
Generators of the group modulo torsion |
j |
-2009615368192/53094899 |
j-invariant |
L |
4.7896584359412 |
L(r)(E,1)/r! |
Ω |
0.14093133002929 |
Real period |
R |
4.2482200459053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28028i2 2288f2 |
Quadratic twists by: -4 -7 |