Atkin-Lehner |
2+ 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616b |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-203466816 = -1 · 26 · 36 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56,-686] |
[a1,a2,a3,a4,a6] |
j |
298077632/3179169 |
j-invariant |
L |
0.87861472166204 |
L(r)(E,1)/r! |
Ω |
0.87861466366991 |
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 |
119616p1 59808b2 |
Quadratic twists by: -4 8 |