Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24472c |
Isogeny class |
Conductor |
24472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5362906809387008 = 211 · 72 · 192 · 236 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43792,152352] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:1748:1] |
Generators of the group modulo torsion |
j |
4535112002559266/2618606840521 |
j-invariant |
L |
3.3916552620911 |
L(r)(E,1)/r! |
Ω |
0.36483379986447 |
Real period |
R |
1.5494065440899 |
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 |
48944e2 |
Quadratic twists by: -4 |