Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520bl |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
55594744686387200 = 213 · 52 · 710 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184256,-28188544] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:1470:1] |
Generators of the group modulo torsion |
j |
1435630901041/115368050 |
j-invariant |
L |
8.1853005677883 |
L(r)(E,1)/r! |
Ω |
0.23160793856069 |
Real period |
R |
2.2088244727197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190z2 17360bh2 |
Quadratic twists by: -4 -7 |