Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834a |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
57483177984 = 212 · 39 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 3 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97701,-11729899] |
[a1,a2,a3,a4,a6] |
Generators |
[-4866:2497:27] |
Generators of the group modulo torsion |
j |
5240007959578371/2920448 |
j-invariant |
L |
2.6693382236592 |
L(r)(E,1)/r! |
Ω |
0.27003782952524 |
Real period |
R |
2.471263219261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672w2 12834g1 |
Quadratic twists by: -4 -3 |