Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550bf |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
249500250000 = 24 · 36 · 56 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1613,-6783] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:127:1] |
Generators of the group modulo torsion |
j |
29704593673/15968016 |
j-invariant |
L |
6.4316251313215 |
L(r)(E,1)/r! |
Ω |
0.80185500508867 |
Real period |
R |
0.66841106876198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44400w2 16650i2 222c2 |
Quadratic twists by: -4 -3 5 |