Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bz |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
233033498062848 = 212 · 310 · 73 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30648,-1919952] |
[a1,a2,a3,a4,a6] |
Generators |
[-758:2821:8] |
Generators of the group modulo torsion |
j |
2266158235375/165868641 |
j-invariant |
L |
7.4391962429777 |
L(r)(E,1)/r! |
Ω |
0.36249346224191 |
Real period |
R |
5.1305727114193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999747188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7791f2 124656dj2 |
Quadratic twists by: -4 -7 |