Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57400t |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3228864800000000 = 211 · 58 · 74 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43408,-2169312] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:850:1] |
Generators of the group modulo torsion |
j |
282678688658/100902025 |
j-invariant |
L |
4.985491266239 |
L(r)(E,1)/r! |
Ω |
0.3405324872414 |
Real period |
R |
3.6600702231371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800d2 11480b2 |
Quadratic twists by: -4 5 |