Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200o |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1674240 |
Modular degree for the optimal curve |
Δ |
-1561497920000000000 = -1 · 215 · 510 · 474 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 -5 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72500,59650000] |
[a1,a2,a3,a4,a6] |
Generators |
[594:17672:1] |
Generators of the group modulo torsion |
j |
131700600/4879681 |
j-invariant |
L |
2.3181180445464 |
L(r)(E,1)/r! |
Ω |
0.20225253193535 |
Real period |
R |
1.4326879032726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200z1 37600j1 75200ca1 |
Quadratic twists by: -4 8 5 |