Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120b |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-715951308800 = -1 · 217 · 52 · 75 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3361,-86465] |
[a1,a2,a3,a4,a6] |
j |
-32044133522/5462275 |
j-invariant |
L |
2.4848704193523 |
L(r)(E,1)/r! |
Ω |
0.31060880241897 |
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 |
29120bv1 3640e1 |
Quadratic twists by: -4 8 |