Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18200t |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-1299525500000000000 = -1 · 211 · 512 · 7 · 135 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 5 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-585408,180718688] |
[a1,a2,a3,a4,a6] |
j |
-693346671296498/40610171875 |
j-invariant |
L |
2.6794486583009 |
L(r)(E,1)/r! |
Ω |
0.26794486583009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36400e1 3640a1 127400bm1 |
Quadratic twists by: -4 5 -7 |