Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7686u |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-2756328268313088 = -1 · 29 · 37 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101705,12762569] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:4444:1] |
Generators of the group modulo torsion |
j |
-159594930873015625/3780971561472 |
j-invariant |
L |
6.4001104597169 |
L(r)(E,1)/r! |
Ω |
0.45326291655642 |
Real period |
R |
0.39222455579182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61488ba3 2562e3 53802bv3 |
Quadratic twists by: -4 -3 -7 |