Atkin-Lehner |
2- 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
38940q |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
695040 |
Modular degree for the optimal curve |
Δ |
-53404984599476400 = -1 · 24 · 320 · 52 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1161205,-482143300] |
[a1,a2,a3,a4,a6] |
j |
-10822579756605821157376/3337811537467275 |
j-invariant |
L |
4.3630030743672 |
L(r)(E,1)/r! |
Ω |
0.072716717906284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116820f1 |
Quadratic twists by: -3 |