Atkin-Lehner |
2- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872bj |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-67425112496 = -1 · 24 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -1 1 7- -2 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1015,808] |
[a1,a2,a3,a4,a6] |
Generators |
[24:196:1] |
Generators of the group modulo torsion |
j |
7220610351104/4214069531 |
j-invariant |
L |
4.9770104226996 |
L(r)(E,1)/r! |
Ω |
0.66459238791864 |
Real period |
R |
0.93610205882023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20468b1 |
Quadratic twists by: -4 |