Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cl |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2912547456000 = 210 · 36 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16448,802308] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:336:1] [-62:1260:1] |
Generators of the group modulo torsion |
j |
3844850327636/22754277 |
j-invariant |
L |
13.652482721684 |
L(r)(E,1)/r! |
Ω |
0.80764504449051 |
Real period |
R |
0.35216797941747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600n1 109200be1 |
Quadratic twists by: -4 5 |