Atkin-Lehner |
3- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
46431g |
Isogeny class |
Conductor |
46431 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-84132019096587 = -1 · 36 · 76 · 114 · 67 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 11- 4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-45324,3740114] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1886:1] |
Generators of the group modulo torsion |
j |
-14124753468260352/115407433603 |
j-invariant |
L |
5.1466076321462 |
L(r)(E,1)/r! |
Ω |
0.61008613247385 |
Real period |
R |
0.5272419087844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159a1 |
Quadratic twists by: -3 |