Atkin-Lehner |
2- 3+ 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bf |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
6889959360000 = 29 · 33 · 54 · 192 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6797,-173131] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:76:1] [-53:216:1] |
Generators of the group modulo torsion |
j |
1286032235748723/255183680000 |
j-invariant |
L |
14.783318689708 |
L(r)(E,1)/r! |
Ω |
0.53309487492318 |
Real period |
R |
0.38515446377738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80370b2 |
Quadratic twists by: -3 |