Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080g |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-528877486080 = -1 · 217 · 39 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,34992] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:135:1] [54:432:1] |
Generators of the group modulo torsion |
j |
-54/205 |
j-invariant |
L |
9.8421641301665 |
L(r)(E,1)/r! |
Ω |
0.74314477855075 |
Real period |
R |
1.6554923778103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080di1 14760m1 118080m1 |
Quadratic twists by: -4 8 -3 |