Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574h |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-491617945887354 = -1 · 2 · 36 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11+ 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-251370,48583174] |
[a1,a2,a3,a4,a6] |
Generators |
[101787:29632:343] |
Generators of the group modulo torsion |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
2.4696915448886 |
L(r)(E,1)/r! |
Ω |
0.51203337846565 |
Real period |
R |
2.4116509281966 |
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 |
20592bs2 82368bn2 286d2 64350dp2 |
Quadratic twists by: -4 8 -3 5 |