Atkin-Lehner |
2- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24050p |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-141211547851562500 = -1 · 22 · 516 · 132 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29912,17972292] |
[a1,a2,a3,a4,a6] |
Generators |
[192:5454:1] |
Generators of the group modulo torsion |
j |
189425802193991/9037539062500 |
j-invariant |
L |
4.7813776833102 |
L(r)(E,1)/r! |
Ω |
0.24811060528006 |
Real period |
R |
2.4088942499622 |
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 |
4810b2 |
Quadratic twists by: 5 |