Atkin-Lehner |
3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275j |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-398478234375 = -1 · 38 · 56 · 132 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,30372] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:150:1] [8:-180:1] |
Generators of the group modulo torsion |
j |
-1/34983 |
j-invariant |
L |
6.0513816932955 |
L(r)(E,1)/r! |
Ω |
0.75346528977542 |
Real period |
R |
2.0078501874631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22425a1 2691f1 |
Quadratic twists by: -3 5 |