Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490a |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
813120 |
Modular degree for the optimal curve |
Δ |
-96071772712042710 = -1 · 2 · 311 · 5 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15002,-14889662] |
[a1,a2,a3,a4,a6] |
Generators |
[44643564:1993431133:21952] |
Generators of the group modulo torsion |
j |
158340421/40743810 |
j-invariant |
L |
3.4154820964261 |
L(r)(E,1)/r! |
Ω |
0.15873421149571 |
Real period |
R |
10.758493920023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490bi1 |
Quadratic twists by: -11 |