Atkin-Lehner |
2- 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
71638o |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-69043315195904 = -1 · 214 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -4 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8086,-491373] |
[a1,a2,a3,a4,a6] |
Generators |
[321:5327:1] [125:623:1] |
Generators of the group modulo torsion |
j |
-496981290961/586858496 |
j-invariant |
L |
11.841133343784 |
L(r)(E,1)/r! |
Ω |
0.24080165208034 |
Real period |
R |
0.87810365038591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234n1 |
Quadratic twists by: -7 |