Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2562h |
Isogeny class |
Conductor |
2562 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-171597636 = -1 · 22 · 33 · 7 · 613 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 6 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-185,-1168] |
[a1,a2,a3,a4,a6] |
j |
-694800198793/171597636 |
j-invariant |
L |
1.2787125643016 |
L(r)(E,1)/r! |
Ω |
0.63935628215082 |
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 |
20496m1 81984o1 7686v1 64050bu1 |
Quadratic twists by: -4 8 -3 5 |