Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360m |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3231161280 = -1 · 26 · 312 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123,-2684] |
[a1,a2,a3,a4,a6] |
Generators |
[36:220:1] |
Generators of the group modulo torsion |
j |
4410944/69255 |
j-invariant |
L |
5.2818746459466 |
L(r)(E,1)/r! |
Ω |
0.69177058251387 |
Real period |
R |
3.8176490728707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360be1 54720bh1 9120p1 |
Quadratic twists by: -4 8 -3 |