Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582b |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
138742128 = 24 · 32 · 73 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-620,5664] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:92:1] [-4:92:1] |
Generators of the group modulo torsion |
j |
77036881375/404496 |
j-invariant |
L |
4.5335570275676 |
L(r)(E,1)/r! |
Ω |
1.850800931343 |
Real period |
R |
0.61237772128714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124656dh2 46746bn2 15582h2 |
Quadratic twists by: -4 -3 -7 |