Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400eb |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-33251917824000000 = -1 · 225 · 37 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203475,-36400750] |
[a1,a2,a3,a4,a6] |
Generators |
[35911:6804666:1] |
Generators of the group modulo torsion |
j |
-19968681097/712704 |
j-invariant |
L |
7.5636524742053 |
L(r)(E,1)/r! |
Ω |
0.11215847448873 |
Real period |
R |
8.4296489039125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999760669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13050j1 34800ce1 4176ba1 |
Quadratic twists by: -4 -3 5 |