Atkin-Lehner |
2+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
80752c |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
-72353792 = -1 · 211 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 0 -1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,736] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:20:1] [12:28:1] |
Generators of the group modulo torsion |
j |
-332750/103 |
j-invariant |
L |
9.0617884398907 |
L(r)(E,1)/r! |
Ω |
1.8390230393372 |
Real period |
R |
0.61593766405652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40376h1 80752f1 |
Quadratic twists by: -4 -7 |