Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330a |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
113703200 = 25 · 52 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 4 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-230,1300] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-40:1] |
Generators of the group modulo torsion |
j |
1603883889/135200 |
j-invariant |
L |
4.6909255054289 |
L(r)(E,1)/r! |
Ω |
1.8268254817772 |
Real period |
R |
0.64195041733478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999653161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109330s1 |
Quadratic twists by: 29 |