Atkin-Lehner |
2+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29150a |
Isogeny class |
Conductor |
29150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-3.353901056E+22 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11+ 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33684900,75749122000] |
[a1,a2,a3,a4,a6] |
Generators |
[-164040:6482020:27] |
Generators of the group modulo torsion |
j |
-270526300483992591025729/2146496675840000000 |
j-invariant |
L |
2.6112193205525 |
L(r)(E,1)/r! |
Ω |
0.11713831442051 |
Real period |
R |
2.7864701373227 |
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 |
5830d1 |
Quadratic twists by: 5 |