Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200fd |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
916883712000000 = 214 · 36 · 56 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-370875,-86921750] |
[a1,a2,a3,a4,a6] |
Generators |
[-463881:-62608:1331] |
Generators of the group modulo torsion |
j |
120920208625/19652 |
j-invariant |
L |
5.8044720410769 |
L(r)(E,1)/r! |
Ω |
0.19346254658854 |
Real period |
R |
7.5007697146064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650by3 6800t3 2448q3 |
Quadratic twists by: -4 -3 5 |