Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11270s |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1092348724407153920 = -1 · 28 · 5 · 78 · 236 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247563,-16818931] |
[a1,a2,a3,a4,a6] |
Generators |
[199:6248:1] |
Generators of the group modulo torsion |
j |
14262456319278831/9284810958080 |
j-invariant |
L |
6.858800678068 |
L(r)(E,1)/r! |
Ω |
0.15745359210851 |
Real period |
R |
0.90751616955561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160cl2 101430w2 56350b2 1610b2 |
Quadratic twists by: -4 -3 5 -7 |