Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192cf |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-438176707993096128 = -1 · 26 · 314 · 76 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127286,-26580520] |
[a1,a2,a3,a4,a6] |
Generators |
[317:6762:1] |
Generators of the group modulo torsion |
j |
30289632400448/58194383823 |
j-invariant |
L |
8.5627155415053 |
L(r)(E,1)/r! |
Ω |
0.15541282418385 |
Real period |
R |
1.3118234030363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192f1 2208h1 |
Quadratic twists by: -4 -7 |