Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368bd |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-3632356453920768 = -1 · 212 · 39 · 7 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -1 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135000,19310832] |
[a1,a2,a3,a4,a6] |
Generators |
[124:2116:1] |
Generators of the group modulo torsion |
j |
-3375000000000/45054401 |
j-invariant |
L |
5.760372462526 |
L(r)(E,1)/r! |
Ω |
0.44496025529932 |
Real period |
R |
0.64729067303506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368bf1 92736da1 46368a1 |
Quadratic twists by: -4 8 -3 |