Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fu |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-7978176000000 = -1 · 212 · 38 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 1 -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8400,326000] |
[a1,a2,a3,a4,a6] |
j |
-1404928/171 |
j-invariant |
L |
1.4344250907436 |
L(r)(E,1)/r! |
Ω |
0.71721254970186 |
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 |
4275j1 22800ci1 2736w1 |
Quadratic twists by: -4 -3 5 |