Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496n |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
173729992568832 = 212 · 38 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14556,233984] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:837:1] |
Generators of the group modulo torsion |
j |
114225318208/58181823 |
j-invariant |
L |
3.0010635268444 |
L(r)(E,1)/r! |
Ω |
0.50447571161819 |
Real period |
R |
0.74360951819091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496q3 124992ey1 20832x3 |
Quadratic twists by: -4 8 -3 |