Atkin-Lehner |
3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38955d |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
91087458800625 = 32 · 54 · 78 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28666,1798838] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:1869:1] |
Generators of the group modulo torsion |
j |
22143063655441/774230625 |
j-invariant |
L |
1.4753120002101 |
L(r)(E,1)/r! |
Ω |
0.59893354522268 |
Real period |
R |
1.2316157710458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116865bb2 5565f2 |
Quadratic twists by: -3 -7 |