Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805bh |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1068162858153125 = -1 · 55 · 72 · 178 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- 2 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-192480,-32621450] |
[a1,a2,a3,a4,a6] |
Generators |
[1718:67778:1] |
Generators of the group modulo torsion |
j |
-666793065841/903125 |
j-invariant |
L |
3.2160124771796 |
L(r)(E,1)/r! |
Ω |
0.11395617977332 |
Real period |
R |
2.8221483757933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805b1 4165e1 |
Quadratic twists by: -7 17 |