Atkin-Lehner |
2+ 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710b |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25622584994531250 = 2 · 32 · 58 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-73933,717523] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:2120:1] [-203:2824:1] |
Generators of the group modulo torsion |
j |
25228519578289/14463281250 |
j-invariant |
L |
6.5608710710642 |
L(r)(E,1)/r! |
Ω |
0.32230374155326 |
Real period |
R |
5.089043521053 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610ba2 |
Quadratic twists by: -11 |