Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85848r |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-389479736427264 = -1 · 28 · 311 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -4 -2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16791,-453123] |
[a1,a2,a3,a4,a6] |
j |
17381983232/12931731 |
j-invariant |
L |
1.1965034238763 |
L(r)(E,1)/r! |
Ω |
0.29912585205577 |
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 |
1752j1 |
Quadratic twists by: -7 |