Atkin-Lehner |
2+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408a |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-1174528 = -1 · 210 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -2 1 6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14816,-694136] |
[a1,a2,a3,a4,a6] |
Generators |
[316498:9525816:343] |
Generators of the group modulo torsion |
j |
-351250267373568/1147 |
j-invariant |
L |
4.3703175676301 |
L(r)(E,1)/r! |
Ω |
0.2163649041241 |
Real period |
R |
10.099414196106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408be1 4588b1 |
Quadratic twists by: -4 8 |