Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710o |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.7289200163108E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35348942,80868980394] |
[a1,a2,a3,a4,a6] |
Generators |
[2712267:20150524:729] |
Generators of the group modulo torsion |
j |
2757381641970898311361/379829992662450 |
j-invariant |
L |
3.2091870504901 |
L(r)(E,1)/r! |
Ω |
0.15567669843216 |
Real period |
R |
5.1536085401081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bb5 |
Quadratic twists by: -11 |