Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784bn |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12153593088 = -1 · 28 · 32 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,412,-4356] |
[a1,a2,a3,a4,a6] |
Generators |
[61:494:1] |
Generators of the group modulo torsion |
j |
13718000/21609 |
j-invariant |
L |
4.0224670874458 |
L(r)(E,1)/r! |
Ω |
0.66948483466195 |
Real period |
R |
3.0041510123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196o2 56784cd2 |
Quadratic twists by: -4 13 |