Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ef |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
547796680704000 = 220 · 38 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139168,-19904768] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:14:1] |
Generators of the group modulo torsion |
j |
582203792000501/1069915392 |
j-invariant |
L |
5.725328501205 |
L(r)(E,1)/r! |
Ω |
0.24720792546555 |
Real period |
R |
2.8949964312371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650dd1 109200hh1 |
Quadratic twists by: -4 5 |