Atkin-Lehner |
3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46827n |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
929280 |
Modular degree for the optimal curve |
Δ |
-1602743730150316347 = -1 · 37 · 118 · 434 |
Discriminant |
Eigenvalues |
-2 3- 0 -3 11- -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,219615,46269220] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-8321:1] |
Generators of the group modulo torsion |
j |
7496192000/10256403 |
j-invariant |
L |
1.9178057468127 |
L(r)(E,1)/r! |
Ω |
0.18023395155036 |
Real period |
R |
1.3300807993758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15609d1 46827s1 |
Quadratic twists by: -3 -11 |