Atkin-Lehner |
2+ 3+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
27738c |
Isogeny class |
Conductor |
27738 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
8923258353549312 = 216 · 39 · 23 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 5 4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53448,-1388224] |
[a1,a2,a3,a4,a6] |
Generators |
[464:-8808:1] |
Generators of the group modulo torsion |
j |
857889527891859/453348491264 |
j-invariant |
L |
3.1151632133156 |
L(r)(E,1)/r! |
Ω |
0.3332293170673 |
Real period |
R |
0.77903389992103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27738j1 |
Quadratic twists by: -3 |