Atkin-Lehner |
2+ 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488d |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11452536832 = -1 · 211 · 11 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,232,5044] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-92:1] [3:76:1] |
Generators of the group modulo torsion |
j |
671404750/5592059 |
j-invariant |
L |
7.8877567426366 |
L(r)(E,1)/r! |
Ω |
0.93167639477239 |
Real period |
R |
2.1165494753187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62744c2 |
Quadratic twists by: -4 |