Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
83304q |
Isogeny class |
Conductor |
83304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
-230606797824 = -1 · 210 · 37 · 13 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 2 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2019,41870] |
[a1,a2,a3,a4,a6] |
Generators |
[22:90:1] |
Generators of the group modulo torsion |
j |
-1219284868/308919 |
j-invariant |
L |
8.6343839665174 |
L(r)(E,1)/r! |
Ω |
0.94464477368946 |
Real period |
R |
2.2850875283437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27768b1 |
Quadratic twists by: -3 |