Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805d |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-488311077869844355 = -1 · 5 · 77 · 179 |
Discriminant |
Eigenvalues |
0 0 5+ 7- -2 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-962948,365258213] |
[a1,a2,a3,a4,a6] |
j |
-7077888/35 |
j-invariant |
L |
1.1853602343807 |
L(r)(E,1)/r! |
Ω |
0.29634005671272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115k1 70805bd1 |
Quadratic twists by: -7 17 |