Atkin-Lehner |
2+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120bf |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-433772822528000 = -1 · 224 · 53 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -3 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4895,-994975] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1288:1] |
Generators of the group modulo torsion |
j |
49471280711/1654712000 |
j-invariant |
L |
7.0464968645021 |
L(r)(E,1)/r! |
Ω |
0.25501806844066 |
Real period |
R |
4.6052271823066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120de2 3910b2 |
Quadratic twists by: -4 8 |