Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400eq |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-1.891203005399E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6840075,7196440250] |
[a1,a2,a3,a4,a6] |
Generators |
[-2395:99200:1] |
Generators of the group modulo torsion |
j |
-758575480593601/40535043840 |
j-invariant |
L |
8.3139425441435 |
L(r)(E,1)/r! |
Ω |
0.1462736060377 |
Real period |
R |
3.5523935117105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550bh1 22800bv1 13680bd1 |
Quadratic twists by: -4 -3 5 |