Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990k |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-395142519744000000 = -1 · 212 · 32 · 56 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-386047,96989509] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:12961:1] |
Generators of the group modulo torsion |
j |
-54082626581000809/3358656000000 |
j-invariant |
L |
3.7654381102361 |
L(r)(E,1)/r! |
Ω |
0.2955752157103 |
Real period |
R |
0.53080652995936 |
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 |
74970cu3 124950ia3 3570k3 |
Quadratic twists by: -3 5 -7 |