Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24900f |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31000500000000 = -1 · 28 · 32 · 59 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9708,-452088] |
[a1,a2,a3,a4,a6] |
Generators |
[24617:3862250:1] |
Generators of the group modulo torsion |
j |
-202389392/62001 |
j-invariant |
L |
3.6458517540316 |
L(r)(E,1)/r! |
Ω |
0.23676151536124 |
Real period |
R |
7.6994180166251 |
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 |
99600dk2 74700v2 24900r2 |
Quadratic twists by: -4 -3 5 |