Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2562f |
Isogeny class |
Conductor |
2562 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-17014372026624 = -1 · 28 · 33 · 79 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6003,-85112] |
[a1,a2,a3,a4,a6] |
j |
23929451044753463/17014372026624 |
j-invariant |
L |
2.343556061768 |
L(r)(E,1)/r! |
Ω |
0.39059267696134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20496k1 81984p1 7686w1 64050bq1 |
Quadratic twists by: -4 8 -3 5 |