Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1690b |
Isogeny class |
Conductor |
1690 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
-344646229622500000 = -1 · 25 · 57 · 1310 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 3 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148160,35808800] |
[a1,a2,a3,a4,a6] |
Generators |
[-2266:60457:8] |
Generators of the group modulo torsion |
j |
-2609064081/2500000 |
j-invariant |
L |
2.1700286456331 |
L(r)(E,1)/r! |
Ω |
0.27674551523115 |
Real period |
R |
7.8412423190331 |
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 |
13520o1 54080be1 15210bs1 8450n1 |
Quadratic twists by: -4 8 -3 5 |