Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064u |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
225996099255533568 = 222 · 3 · 136 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-306816,-61181952] |
[a1,a2,a3,a4,a6] |
Generators |
[-47700950:53674129:125000] |
Generators of the group modulo torsion |
j |
779828657309278849/55174828919808 |
j-invariant |
L |
5.5936188357474 |
L(r)(E,1)/r! |
Ω |
0.20375684016729 |
Real period |
R |
13.726211181808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758i2 114192bt2 |
Quadratic twists by: -4 -3 |