Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688di |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-5.001290868417E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,59568,340224660] |
[a1,a2,a3,a4,a6] |
Generators |
[-309:17100:1] |
Generators of the group modulo torsion |
j |
141420761/302579712 |
j-invariant |
L |
8.9726863438494 |
L(r)(E,1)/r! |
Ω |
0.15721173905041 |
Real period |
R |
5.707389535946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586v1 44688cb1 |
Quadratic twists by: -4 -7 |