Atkin-Lehner |
3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13545b |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2184541866675 = -1 · 39 · 52 · 74 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 6 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2415,53900] |
[a1,a2,a3,a4,a6] |
Generators |
[28:364:1] |
Generators of the group modulo torsion |
j |
79119341757/110986225 |
j-invariant |
L |
5.4769605027362 |
L(r)(E,1)/r! |
Ω |
0.55636770003008 |
Real period |
R |
1.2305172690741 |
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 |
13545d2 67725d2 94815h2 |
Quadratic twists by: -3 5 -7 |