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 |
346043165368320 = 213 · 33 · 5 · 74 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28936,-1679500] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:456:1] |
Generators of the group modulo torsion |
j |
654175477573129/84483194670 |
j-invariant |
L |
6.3573776158718 |
L(r)(E,1)/r! |
Ω |
0.36916343061591 |
Real period |
R |
0.35877163341006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990a4 127680en3 95760fh3 |
Quadratic twists by: -4 8 -3 |