Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
705d |
Isogeny class |
Conductor |
705 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-17625 = -1 · 3 · 53 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ -3 -2 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6,1] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
30080231/17625 |
j-invariant |
L |
2.7399409038785 |
L(r)(E,1)/r! |
Ω |
2.3563327671006 |
Real period |
R |
1.1627987957108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11280j1 45120r1 2115h1 3525c1 |
Quadratic twists by: -4 8 -3 5 |