Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920bk |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2704690146170880 = -1 · 211 · 314 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32253,1135906] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1274:1] |
Generators of the group modulo torsion |
j |
2485287189502/1811590515 |
j-invariant |
L |
6.2305087001149 |
L(r)(E,1)/r! |
Ω |
0.2893857272751 |
Real period |
R |
2.6912646831087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960bb3 38640s3 |
Quadratic twists by: -4 -3 |