Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112m |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-547165493919744 = -1 · 217 · 3 · 72 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17983,630465] |
[a1,a2,a3,a4,a6] |
Generators |
[67:1460:1] |
Generators of the group modulo torsion |
j |
4906548184606/4174541427 |
j-invariant |
L |
6.1292433473165 |
L(r)(E,1)/r! |
Ω |
0.33683771460027 |
Real period |
R |
4.5491071048478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999974942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112by3 12264g4 |
Quadratic twists by: -4 8 |