Atkin-Lehner |
2- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408be |
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 |
[70:4:1] |
Generators of the group modulo torsion |
j |
-351250267373568/1147 |
j-invariant |
L |
1.6518855840815 |
L(r)(E,1)/r! |
Ω |
1.8214760190463 |
Real period |
R |
0.45344697529461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408a1 18352l1 |
Quadratic twists by: -4 8 |