Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394ci |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1110424740579753984 = -1 · 214 · 38 · 73 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-403477,-111079429] |
[a1,a2,a3,a4,a6] |
Generators |
[985:20682:1] |
Generators of the group modulo torsion |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
11.351478276395 |
L(r)(E,1)/r! |
Ω |
0.093922374587446 |
Real period |
R |
2.8776241381092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
714a1 |
Quadratic twists by: -11 |