Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805bj |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
291554810575 = 52 · 79 · 172 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- -4 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8625,-310808] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-1799:1] |
Generators of the group modulo torsion |
j |
6084487/25 |
j-invariant |
L |
3.3191582737933 |
L(r)(E,1)/r! |
Ω |
0.49552647399101 |
Real period |
R |
1.6745615260739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805m1 70805x1 |
Quadratic twists by: -7 17 |