Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496w |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
434053810778112 = 212 · 38 · 75 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-807852,279475040] |
[a1,a2,a3,a4,a6] |
Generators |
[706:7812:1] [-680:22680:1] |
Generators of the group modulo torsion |
j |
19526825684298304/145363743 |
j-invariant |
L |
7.8461819266836 |
L(r)(E,1)/r! |
Ω |
0.47434635126595 |
Real period |
R |
0.41352599770961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496bi2 124992dm1 20832bc2 |
Quadratic twists by: -4 8 -3 |