Atkin-Lehner |
2+ 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
45320c |
Isogeny class |
Conductor |
45320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-14597662640 = -1 · 24 · 5 · 116 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 11- -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,265,-5660] |
[a1,a2,a3,a4,a6] |
Generators |
[27:143:1] [71:605:1] |
Generators of the group modulo torsion |
j |
128144943104/912353915 |
j-invariant |
L |
8.2429867487737 |
L(r)(E,1)/r! |
Ω |
0.6218388470975 |
Real period |
R |
1.1046520583334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90640c1 |
Quadratic twists by: -4 |