Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200k |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-77948684000000000 = -1 · 211 · 59 · 117 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 11- -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202675,37600750] |
[a1,a2,a3,a4,a6] |
j |
-16241202/1375 |
j-invariant |
L |
1.3452501885669 |
L(r)(E,1)/r! |
Ω |
0.33631254714177 |
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 |
48400o1 4840i1 2200h1 |
Quadratic twists by: -4 5 -11 |