Atkin-Lehner |
2+ 3+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
79632a |
Isogeny class |
Conductor |
79632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-2786482944 = -1 · 28 · 39 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 0 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,324,-1188] |
[a1,a2,a3,a4,a6] |
Generators |
[1239:1863:343] |
Generators of the group modulo torsion |
j |
746496/553 |
j-invariant |
L |
8.3406058131471 |
L(r)(E,1)/r! |
Ω |
0.80328703266286 |
Real period |
R |
5.1915476479185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39816f1 79632b1 |
Quadratic twists by: -4 -3 |