Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496p |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29758791315456 = 212 · 314 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73884,-7725440] |
[a1,a2,a3,a4,a6] |
Generators |
[4770:101255:8] |
Generators of the group modulo torsion |
j |
14937827321152/9966159 |
j-invariant |
L |
8.1520224115645 |
L(r)(E,1)/r! |
Ω |
0.28958719026492 |
Real period |
R |
7.0376234562121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496m4 124992ge1 20832bf3 |
Quadratic twists by: -4 8 -3 |