Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920br |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5281907097600 = 214 · 36 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7336,212660] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:630:1] |
Generators of the group modulo torsion |
j |
10661073346729/1289528100 |
j-invariant |
L |
6.3573776158718 |
L(r)(E,1)/r! |
Ω |
0.73832686123181 |
Real period |
R |
0.71754326682011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3990a2 127680en2 95760fh2 |
Quadratic twists by: -4 8 -3 |