Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746w |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
3436476936228 = 22 · 39 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9344,-333665] |
[a1,a2,a3,a4,a6] |
Generators |
[3670:74797:8] |
Generators of the group modulo torsion |
j |
38958219/1484 |
j-invariant |
L |
10.116285914123 |
L(r)(E,1)/r! |
Ω |
0.48672920947761 |
Real period |
R |
5.196054457559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46746d1 6678i1 |
Quadratic twists by: -3 -7 |