Atkin-Lehner |
2+ 5- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
94550h |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-227156375000000 = -1 · 26 · 59 · 313 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 -4 -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32076,2324298] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:1961:1] |
Generators of the group modulo torsion |
j |
-1868593459013/116304064 |
j-invariant |
L |
4.3393558454781 |
L(r)(E,1)/r! |
Ω |
0.55040930954925 |
Real period |
R |
0.65698922698044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94550v1 |
Quadratic twists by: 5 |