Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270l |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-56845800000000 = -1 · 29 · 34 · 58 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7753,-246891] |
[a1,a2,a3,a4,a6] |
Generators |
[53:536:1] |
Generators of the group modulo torsion |
j |
425853445399679/469800000000 |
j-invariant |
L |
3.6209295818391 |
L(r)(E,1)/r! |
Ω |
0.33860107450119 |
Real period |
R |
0.66836202384434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999750543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270bs1 |
Quadratic twists by: -11 |