Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120cv |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-2047989072579788800 = -1 · 224 · 52 · 79 · 112 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43920,68929300] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:7546:1] |
Generators of the group modulo torsion |
j |
-19443408769/4249907200 |
j-invariant |
L |
4.2939637786848 |
L(r)(E,1)/r! |
Ω |
0.21334149085834 |
Real period |
R |
1.2579490988277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390bf1 6160g1 |
Quadratic twists by: -4 -7 |