Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448a |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
13453356324096 = 28 · 39 · 13 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28188,-1812996] |
[a1,a2,a3,a4,a6] |
Generators |
[3129:174771:1] |
Generators of the group modulo torsion |
j |
491569855488/2669927 |
j-invariant |
L |
4.7406332841229 |
L(r)(E,1)/r! |
Ω |
0.36857468962223 |
Real period |
R |
6.4310347618798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55224k1 110448c1 |
Quadratic twists by: -4 -3 |