Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805bl |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-5084455204808875 = -1 · 53 · 73 · 179 |
Discriminant |
Eigenvalues |
-2 0 5- 7- 2 3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2023,3430502] |
[a1,a2,a3,a4,a6] |
Generators |
[527:12282:1] |
Generators of the group modulo torsion |
j |
110592/614125 |
j-invariant |
L |
3.3978708710389 |
L(r)(E,1)/r! |
Ω |
0.33940541814253 |
Real period |
R |
0.41713521761946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805p1 4165g1 |
Quadratic twists by: -7 17 |