Atkin-Lehner |
17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
1003d |
Isogeny class |
Conductor |
1003 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
180 |
Modular degree for the optimal curve |
Δ |
-3491443 = -1 · 17 · 593 |
Discriminant |
Eigenvalues |
2 0 -2 -2 -3 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41,135] |
[a1,a2,a3,a4,a6] |
Generators |
[18:55:8] |
Generators of the group modulo torsion |
j |
-7622111232/3491443 |
j-invariant |
L |
3.8300323978395 |
L(r)(E,1)/r! |
Ω |
2.3382633870212 |
Real period |
R |
0.54599386580351 |
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 |
16048w1 64192r1 9027a1 25075f1 |
Quadratic twists by: -4 8 -3 5 |