Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13300v |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
831250000 = 24 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2833,57088] |
[a1,a2,a3,a4,a6] |
Generators |
[12:158:1] |
Generators of the group modulo torsion |
j |
402472960/133 |
j-invariant |
L |
5.3956195829133 |
L(r)(E,1)/r! |
Ω |
1.554163599117 |
Real period |
R |
3.4717191845047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53200db1 119700ci1 13300e1 93100bl1 |
Quadratic twists by: -4 -3 5 -7 |