Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050dt |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
1610648424000000000 = 212 · 32 · 59 · 75 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-569451,153667798] |
[a1,a2,a3,a4,a6] |
Generators |
[1858:73304:1] |
Generators of the group modulo torsion |
j |
7855676688439/619573248 |
j-invariant |
L |
6.6479763514271 |
L(r)(E,1)/r! |
Ω |
0.26091280267396 |
Real period |
R |
6.3699215807936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999723139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050gt1 127050jc1 |
Quadratic twists by: 5 -11 |