Atkin-Lehner |
3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205p |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
14027103236025 = 310 · 52 · 115 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11- 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1781762,915869936] |
[a1,a2,a3,a4,a6] |
Generators |
[774:-239:1] |
Generators of the group modulo torsion |
j |
858114089022392566489/19241568225 |
j-invariant |
L |
3.6919435255374 |
L(r)(E,1)/r! |
Ω |
0.50996951922334 |
Real period |
R |
0.72395376318961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735e1 |
Quadratic twists by: -3 |