Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710cu |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
1320 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-1.1737119195866E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,94075,164464257] |
[a1,a2,a3,a4,a6] |
Generators |
[3904:243073:1] |
Generators of the group modulo torsion |
j |
51974460932759/6625297800000 |
j-invariant |
L |
13.103903914032 |
L(r)(E,1)/r! |
Ω |
0.17388935048613 |
Real period |
R |
0.057089177151694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610u1 |
Quadratic twists by: -11 |