Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504by |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-11322851328 = -1 · 216 · 37 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -1 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876,11216] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:144:1] [-14:144:1] |
Generators of the group modulo torsion |
j |
-1556068/237 |
j-invariant |
L |
8.2422767212282 |
L(r)(E,1)/r! |
Ω |
1.2317521864865 |
Real period |
R |
0.41821910342709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45504q1 11376d1 15168i1 |
Quadratic twists by: -4 8 -3 |