Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600r |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11443328000000 = 213 · 56 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-720875,-235579750] |
[a1,a2,a3,a4,a6] |
Generators |
[13885:1633000:1] |
Generators of the group modulo torsion |
j |
647326865237625/178802 |
j-invariant |
L |
6.3395021447036 |
L(r)(E,1)/r! |
Ω |
0.16384551989811 |
Real period |
R |
4.8364932902399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000132059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14950t2 4784e2 |
Quadratic twists by: -4 5 |