Atkin-Lehner |
2- 3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17940b |
Isogeny class |
Conductor |
17940 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-93000960 = -1 · 28 · 35 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -3 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,936] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] |
Generators of the group modulo torsion |
j |
-1650587344/363285 |
j-invariant |
L |
4.3719948430359 |
L(r)(E,1)/r! |
Ω |
1.8193693084536 |
Real period |
R |
2.4030276990612 |
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 |
71760bv1 53820w1 89700s1 |
Quadratic twists by: -4 -3 5 |