Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966ce |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-388422408864 = -1 · 25 · 3 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-712,-30922] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1618:1] |
Generators of the group modulo torsion |
j |
-68921/672 |
j-invariant |
L |
8.631868367289 |
L(r)(E,1)/r! |
Ω |
0.40278463003501 |
Real period |
R |
2.6788101260367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138d1 84966bd1 |
Quadratic twists by: -7 17 |