Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19680p |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
47822400 = 26 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9966,386280] |
[a1,a2,a3,a4,a6] |
Generators |
[66:108:1] |
Generators of the group modulo torsion |
j |
1710605891820736/747225 |
j-invariant |
L |
3.3413309969727 |
L(r)(E,1)/r! |
Ω |
1.6389412658595 |
Real period |
R |
1.0193565402786 |
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 |
19680y1 39360dd1 59040u1 98400ba1 |
Quadratic twists by: -4 8 -3 5 |