Atkin-Lehner |
7- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9499c |
Isogeny class |
Conductor |
9499 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-33066019 = -1 · 7 · 23 · 593 |
Discriminant |
Eigenvalues |
2 0 -1 7- 1 3 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,37,-263] |
[a1,a2,a3,a4,a6] |
Generators |
[484:1325:64] |
Generators of the group modulo torsion |
j |
5601816576/33066019 |
j-invariant |
L |
8.0597201323278 |
L(r)(E,1)/r! |
Ω |
1.0385492300739 |
Real period |
R |
2.5868522161935 |
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 |
85491l1 66493b1 |
Quadratic twists by: -3 -7 |