Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bq |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1843794724586918400 = 29 · 314 · 52 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5589416,-5088160087] |
[a1,a2,a3,a4,a6] |
Generators |
[-1369:1289:1] |
Generators of the group modulo torsion |
j |
10901014250685308569/1040774054400 |
j-invariant |
L |
6.5195484842172 |
L(r)(E,1)/r! |
Ω |
0.098188456672086 |
Real period |
R |
1.8443977545857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510a2 |
Quadratic twists by: -11 |