Atkin-Lehner |
2+ 3+ 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450d |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1159200 |
Modular degree for the optimal curve |
Δ |
548800312500000 = 25 · 37 · 510 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-285950,-58963500] |
[a1,a2,a3,a4,a6] |
Generators |
[-13063722012408266:10625366332950281:42093348779656] |
Generators of the group modulo torsion |
j |
264786808167025/56197152 |
j-invariant |
L |
5.2214551386991 |
L(r)(E,1)/r! |
Ω |
0.20645830751748 |
Real period |
R |
25.290603228727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450cm1 |
Quadratic twists by: 5 |