Atkin-Lehner |
2- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45584l |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2298752253952 = -1 · 214 · 7 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11+ 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47752,4033008] |
[a1,a2,a3,a4,a6] |
Generators |
[36:1536:1] |
Generators of the group modulo torsion |
j |
-2940001530995593/561218812 |
j-invariant |
L |
10.30186121076 |
L(r)(E,1)/r! |
Ω |
0.79525113525073 |
Real period |
R |
3.2385559586502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5698a1 |
Quadratic twists by: -4 |