Atkin-Lehner |
2+ 3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550m |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-650174062500 = -1 · 22 · 32 · 57 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 5 -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1225,35625] |
[a1,a2,a3,a4,a6] |
Generators |
[140:-1795:1] |
Generators of the group modulo torsion |
j |
12994449551/41611140 |
j-invariant |
L |
3.5365434392876 |
L(r)(E,1)/r! |
Ω |
0.64323419162431 |
Real period |
R |
0.11454302223231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110bj1 |
Quadratic twists by: 5 |