Atkin-Lehner |
2+ 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778n |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-2810828843501844 = -1 · 22 · 3 · 118 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 11- -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20089,-2777920] |
[a1,a2,a3,a4,a6] |
Generators |
[945:28204:1] |
Generators of the group modulo torsion |
j |
-506071034209/1586639604 |
j-invariant |
L |
3.1134901880317 |
L(r)(E,1)/r! |
Ω |
0.18498999514801 |
Real period |
R |
4.2076467244782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798k1 |
Quadratic twists by: -11 |