Atkin-Lehner |
2+ 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59878p |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1684480 |
Modular degree for the optimal curve |
Δ |
-2.5025244948823E+19 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 1 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,536231,-187088971] |
[a1,a2,a3,a4,a6] |
Generators |
[706:22971:1] |
Generators of the group modulo torsion |
j |
422567253293921/620148898928 |
j-invariant |
L |
3.1520571655086 |
L(r)(E,1)/r! |
Ω |
0.11255067040944 |
Real period |
R |
3.5007090073836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59878g1 |
Quadratic twists by: -7 |