Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490j |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-4356551948760 = -1 · 23 · 35 · 5 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12707,555141] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:789:1] |
Generators of the group modulo torsion |
j |
-128100283921/2459160 |
j-invariant |
L |
5.2818239159139 |
L(r)(E,1)/r! |
Ω |
0.77738095304859 |
Real period |
R |
1.6985957447738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590v1 |
Quadratic twists by: -11 |