Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510p |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
37546256250000 = 24 · 32 · 58 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11406,363636] |
[a1,a2,a3,a4,a6] |
Generators |
[90:216:1] |
Generators of the group modulo torsion |
j |
164106655117491169/37546256250000 |
j-invariant |
L |
8.7841018870063 |
L(r)(E,1)/r! |
Ω |
0.61134592543415 |
Real period |
R |
3.5921159860386 |
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 |
73530o2 122550c2 |
Quadratic twists by: -3 5 |