Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746x |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-673422876 = -1 · 22 · 33 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,64,-1249] |
[a1,a2,a3,a4,a6] |
Generators |
[86:149:8] |
Generators of the group modulo torsion |
j |
9261/212 |
j-invariant |
L |
7.4158569408946 |
L(r)(E,1)/r! |
Ω |
0.7825284971651 |
Real period |
R |
2.3691970860357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46746c1 954g1 |
Quadratic twists by: -3 -7 |