Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13254d |
Isogeny class |
Conductor |
13254 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
288768 |
Modular degree for the optimal curve |
Δ |
-1450393093141186032 = -1 · 24 · 34 · 479 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1243713,536478255] |
[a1,a2,a3,a4,a6] |
Generators |
[633:1512:1] |
Generators of the group modulo torsion |
j |
-190109375/1296 |
j-invariant |
L |
5.9133850066723 |
L(r)(E,1)/r! |
Ω |
0.27067658156747 |
Real period |
R |
5.4616703192684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106032bc1 39762d1 13254c1 |
Quadratic twists by: -4 -3 -47 |