Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cn |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-13231350000 = -1 · 24 · 37 · 55 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 2 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70,-5553] |
[a1,a2,a3,a4,a6] |
j |
19314944/6834375 |
j-invariant |
L |
2.9532611076253 |
L(r)(E,1)/r! |
Ω |
0.59065222152528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7260s1 116160ho1 87120dy1 29040cp1 |
Quadratic twists by: -4 8 -3 -11 |