Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064b |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7695627264 = 210 · 36 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1184,15504] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:140:1] [-10:162:1] |
Generators of the group modulo torsion |
j |
179409573508/7515261 |
j-invariant |
L |
7.4344603172048 |
L(r)(E,1)/r! |
Ω |
1.3048853847441 |
Real period |
R |
1.4243512120152 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032g2 114192h2 |
Quadratic twists by: -4 -3 |