Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960by |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
62352087616000000 = 212 · 56 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231427,-41133246] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:1170:1] |
Generators of the group modulo torsion |
j |
2844576388809/129390625 |
j-invariant |
L |
5.9904384411788 |
L(r)(E,1)/r! |
Ω |
0.21828154205543 |
Real period |
R |
2.2869693824263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3185h2 7280q2 |
Quadratic twists by: -4 -7 |