Atkin-Lehner |
3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6003c |
Isogeny class |
Conductor |
6003 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-1063413441 = -1 · 313 · 23 · 29 |
Discriminant |
Eigenvalues |
1 3- -3 0 -3 3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,99,1498] |
[a1,a2,a3,a4,a6] |
Generators |
[38:224:1] |
Generators of the group modulo torsion |
j |
146363183/1458729 |
j-invariant |
L |
3.749103775943 |
L(r)(E,1)/r! |
Ω |
1.1415002305636 |
Real period |
R |
0.82109133129389 |
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 |
96048x1 2001a1 |
Quadratic twists by: -4 -3 |