Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810l |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1224960 |
Modular degree for the optimal curve |
Δ |
-1.0828744773319E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 3 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,544704,-33474410] |
[a1,a2,a3,a4,a6] |
Generators |
[263531128:11200020761:175616] |
Generators of the group modulo torsion |
j |
423733973831/256723750 |
j-invariant |
L |
7.2654312653933 |
L(r)(E,1)/r! |
Ω |
0.13222373723475 |
Real period |
R |
6.8685012779648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
590a1 |
Quadratic twists by: -59 |