Atkin-Lehner |
2- 3+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
42804b |
Isogeny class |
Conductor |
42804 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-21059568 = -1 · 24 · 33 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 -3 -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417,3285] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:81:1] [4:41:1] |
Generators of the group modulo torsion |
j |
-18562998528/48749 |
j-invariant |
L |
6.8612365715852 |
L(r)(E,1)/r! |
Ω |
2.1606592038753 |
Real period |
R |
0.79388232064541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42804c1 |
Quadratic twists by: -3 |