Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13760t |
Isogeny class |
Conductor |
13760 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-20842283008000 = -1 · 221 · 53 · 433 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -6 -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2305,222975] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:215:1] [-65:320:1] |
Generators of the group modulo torsion |
j |
-5168743489/79507000 |
j-invariant |
L |
5.0988564922574 |
L(r)(E,1)/r! |
Ω |
0.57632177649442 |
Real period |
R |
0.24575663863371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13760f2 3440b2 123840fe2 68800cw2 |
Quadratic twists by: -4 8 -3 5 |