Atkin-Lehner |
3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205f |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-59140125 = -1 · 36 · 53 · 11 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] |
Generators of the group modulo torsion |
j |
139798359/81125 |
j-invariant |
L |
2.7754860867806 |
L(r)(E,1)/r! |
Ω |
1.1722359976131 |
Real period |
R |
2.3676854254877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3245d1 |
Quadratic twists by: -3 |