Atkin-Lehner |
2+ 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490be |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
335856423168750 = 2 · 3 · 55 · 112 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- -1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70018,-7082242] |
[a1,a2,a3,a4,a6] |
j |
313731791659399201/2775672918750 |
j-invariant |
L |
2.9364979539617 |
L(r)(E,1)/r! |
Ω |
0.29364980306259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490cq1 |
Quadratic twists by: -11 |