Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200ck |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-2340041011200 = -1 · 212 · 312 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8253,295083] |
[a1,a2,a3,a4,a6] |
Generators |
[117:972:1] |
Generators of the group modulo torsion |
j |
-607172247040/22851963 |
j-invariant |
L |
10.107056089989 |
L(r)(E,1)/r! |
Ω |
0.81252670555897 |
Real period |
R |
0.51829353306724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200i1 103200o1 |
Quadratic twists by: -4 5 |