Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79497g |
Isogeny class |
Conductor |
79497 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1314816 |
Modular degree for the optimal curve |
Δ |
-2448409549515781401 = -1 · 322 · 114 · 732 |
Discriminant |
Eigenvalues |
1 3- 1 -4 11- -5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-243414,88402617] |
[a1,a2,a3,a4,a6] |
Generators |
[168:-7311:1] |
Generators of the group modulo torsion |
j |
-149438708709169/229395976209 |
j-invariant |
L |
4.4747005721385 |
L(r)(E,1)/r! |
Ω |
0.23142617206344 |
Real period |
R |
1.6112771975898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26499j1 79497l1 |
Quadratic twists by: -3 -11 |