Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17700f |
Isogeny class |
Conductor |
17700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-17700000000 = -1 · 28 · 3 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,9912] |
[a1,a2,a3,a4,a6] |
Generators |
[17:50:1] |
Generators of the group modulo torsion |
j |
-393040/177 |
j-invariant |
L |
3.8808501319733 |
L(r)(E,1)/r! |
Ω |
1.1491745130286 |
Real period |
R |
1.1256921346511 |
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 |
70800dg1 53100bb1 17700o1 |
Quadratic twists by: -4 -3 5 |