Atkin-Lehner |
2- 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400cd |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-151468465500000000 = -1 · 28 · 32 · 59 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214708,-42554588] |
[a1,a2,a3,a4,a6] |
Generators |
[21838:3226344:1] |
Generators of the group modulo torsion |
j |
-2189275465232/302936931 |
j-invariant |
L |
4.5467340987598 |
L(r)(E,1)/r! |
Ω |
0.11004781960574 |
Real period |
R |
5.1644981281518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400bo1 |
Quadratic twists by: 5 |