Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712de |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-162590281957376 = -1 · 237 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3 -3 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200044,34443344] |
[a1,a2,a3,a4,a6] |
Generators |
[103338:2179072:729] |
Generators of the group modulo torsion |
j |
-19983597574473/3670016 |
j-invariant |
L |
9.8992781685519 |
L(r)(E,1)/r! |
Ω |
0.55725693269112 |
Real period |
R |
4.4410744797753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712s1 18928be1 75712ch1 |
Quadratic twists by: -4 8 13 |