Atkin-Lehner |
5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22475h |
Isogeny class |
Conductor |
22475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-3258875 = -1 · 53 · 292 · 31 |
Discriminant |
Eigenvalues |
0 -1 5- 2 0 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,37,3] |
[a1,a2,a3,a4,a6] |
Generators |
[17:72:1] |
Generators of the group modulo torsion |
j |
43614208/26071 |
j-invariant |
L |
3.1485386628072 |
L(r)(E,1)/r! |
Ω |
1.5391864468265 |
Real period |
R |
0.51139656753391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22475g1 |
Quadratic twists by: 5 |