Atkin-Lehner |
3+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15477a |
Isogeny class |
Conductor |
15477 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
13964726853 = 32 · 7 · 11 · 674 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3789,-91188] |
[a1,a2,a3,a4,a6] |
Generators |
[-2225240:1470523:64000] |
Generators of the group modulo torsion |
j |
6018338475421273/13964726853 |
j-invariant |
L |
6.1980470011982 |
L(r)(E,1)/r! |
Ω |
0.6085748940821 |
Real period |
R |
10.184526278473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46431k4 108339p4 |
Quadratic twists by: -3 -7 |