Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91035bd |
Isogeny class |
Conductor |
91035 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-6.0235988588453E+23 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8048511,36290018520] |
[a1,a2,a3,a4,a6] |
Generators |
[316452:-35779226:27] |
Generators of the group modulo torsion |
j |
16098893047132187167/168182866341984375 |
j-invariant |
L |
7.5587625824979 |
L(r)(E,1)/r! |
Ω |
0.067390359627974 |
Real period |
R |
9.3469879841883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30345t1 91035u1 |
Quadratic twists by: -3 17 |