Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805c |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
481032 |
Modular degree for the optimal curve |
Δ |
-24202006774890245 = -1 · 5 · 74 · 1710 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ -4 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85261,-12166274] |
[a1,a2,a3,a4,a6] |
Generators |
[1727401683:19367828122:4173281] |
Generators of the group modulo torsion |
j |
-14161/5 |
j-invariant |
L |
2.2711064794095 |
L(r)(E,1)/r! |
Ω |
0.13725858866645 |
Real period |
R |
16.546188482759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805bi1 70805bc1 |
Quadratic twists by: -7 17 |