Atkin-Lehner |
3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925t |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-85954921875 = -1 · 34 · 57 · 172 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 0 -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15033,704594] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:637:1] [78:112:1] |
Generators of the group modulo torsion |
j |
-24047478636544/5501115 |
j-invariant |
L |
8.8317438496045 |
L(r)(E,1)/r! |
Ω |
1.0492500017693 |
Real period |
R |
0.26303740274955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11985a1 |
Quadratic twists by: 5 |