Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360bh |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
373263751065600 = 212 · 312 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327612,-72169184] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:76:1] |
Generators of the group modulo torsion |
j |
1302313788921664/125005275 |
j-invariant |
L |
5.121883387034 |
L(r)(E,1)/r! |
Ω |
0.19955476655247 |
Real period |
R |
1.0694397907903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360k2 54720u1 9120i2 |
Quadratic twists by: -4 8 -3 |