Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912l |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
919015167264768 = 211 · 34 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-172888,-27573104] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:196:1] |
Generators of the group modulo torsion |
j |
2371933903250/3814209 |
j-invariant |
L |
5.5151490794773 |
L(r)(E,1)/r! |
Ω |
0.23415318943192 |
Real period |
R |
1.4720996042173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456k2 10416i2 |
Quadratic twists by: -4 -7 |