Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550do |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-1.6214118748242E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-445401,-225032552] |
[a1,a2,a3,a4,a6] |
Generators |
[1223:31944:1] |
Generators of the group modulo torsion |
j |
-12763205672220241/21177624487500 |
j-invariant |
L |
6.6556830355553 |
L(r)(E,1)/r! |
Ω |
0.087414353927386 |
Real period |
R |
6.3449562716638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110bs1 95550e1 |
Quadratic twists by: 5 -7 |