Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790t |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1126349313868800 = 210 · 39 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27204,-605872] |
[a1,a2,a3,a4,a6] |
j |
961504803/486400 |
j-invariant |
L |
3.136915645332 |
L(r)(E,1)/r! |
Ω |
0.39211445562886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790cz1 1710a1 |
Quadratic twists by: -3 -7 |