Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bj |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-254919970816000 = -1 · 215 · 53 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5185,779775] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-840:1] [-65:920:1] |
Generators of the group modulo torsion |
j |
-470547874952/7779540125 |
j-invariant |
L |
7.3979242778154 |
L(r)(E,1)/r! |
Ω |
0.46712823064345 |
Real period |
R |
0.43991752826187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520u2 25760b2 |
Quadratic twists by: -4 8 |