Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456q |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-3300868147838976 = -1 · 216 · 37 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23711,2372449] |
[a1,a2,a3,a4,a6] |
j |
22494434350748/50367250791 |
j-invariant |
L |
1.8639405410112 |
L(r)(E,1)/r! |
Ω |
0.31065675683519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456ca1 3432h1 82368u1 |
Quadratic twists by: -4 8 -3 |