Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48360w |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
22474807056000000 = 210 · 32 · 56 · 132 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320840,-69469188] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:496:1] |
Generators of the group modulo torsion |
j |
3566897521968587044/21948053765625 |
j-invariant |
L |
4.0128485020669 |
L(r)(E,1)/r! |
Ω |
0.20067269481992 |
Real period |
R |
1.6664152646023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96720x2 |
Quadratic twists by: -4 |