Atkin-Lehner |
2+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125426k |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42045624593823872 = 27 · 72 · 178 · 312 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -4 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-219501,-38424931] |
[a1,a2,a3,a4,a6] |
Generators |
[10745:1107422:1] |
Generators of the group modulo torsion |
j |
48455467135993/1741916288 |
j-invariant |
L |
4.4716131148459 |
L(r)(E,1)/r! |
Ω |
0.2210543113677 |
Real period |
R |
5.0571428904994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000353913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378b2 |
Quadratic twists by: 17 |