Atkin-Lehner |
5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51205j |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4851030896571475 = -1 · 52 · 78 · 116 · 19 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42590,-4751125] |
[a1,a2,a3,a4,a6] |
Generators |
[310:3275:1] |
Generators of the group modulo torsion |
j |
-72621318248361/41233082275 |
j-invariant |
L |
4.5854822494177 |
L(r)(E,1)/r! |
Ω |
0.16191406857141 |
Real period |
R |
2.3600390266029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315g2 |
Quadratic twists by: -7 |