Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675h |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
83160675 = 39 · 52 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -5 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1648,-26434] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:13:1] |
Generators of the group modulo torsion |
j |
117161545345/19683 |
j-invariant |
L |
1.3041691403195 |
L(r)(E,1)/r! |
Ω |
0.74931298462803 |
Real period |
R |
1.7404865084073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38025bi1 12675bh1 12675d1 |
Quadratic twists by: -3 5 13 |