Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978f |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-357466816288512 = -1 · 28 · 32 · 7 · 536 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11295,1019314] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
j-invariant |
L |
1.9095571209962 |
L(r)(E,1)/r! |
Ω |
0.4773894227358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42a1 |
Quadratic twists by: 53 |