Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990bv |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
696 |
Product of Tamagawa factors cp |
deg |
4287360 |
Modular degree for the optimal curve |
Δ |
-2.2640555466361E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12971524,14169342480] |
[a1,a2,a3,a4,a6] |
Generators |
[-584:80260:1] |
Generators of the group modulo torsion |
j |
41870910074901457151/39273784934400000 |
j-invariant |
L |
8.4783969052008 |
L(r)(E,1)/r! |
Ω |
0.065103383207322 |
Real period |
R |
0.18711170063251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74970bp1 124950f1 24990bu1 |
Quadratic twists by: -3 5 -7 |