Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bh |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
48102132896400 = 24 · 3 · 52 · 119 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10288,222638] |
[a1,a2,a3,a4,a6] |
Generators |
[471:5701:27] |
Generators of the group modulo torsion |
j |
51064811/20400 |
j-invariant |
L |
7.018262300343 |
L(r)(E,1)/r! |
Ω |
0.57763307986105 |
Real period |
R |
6.0750176410521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710ct1 |
Quadratic twists by: -11 |