Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bq |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15146792204544 = 28 · 310 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10191,-348910] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:182:1] |
Generators of the group modulo torsion |
j |
627200828368/81162081 |
j-invariant |
L |
4.7079560578098 |
L(r)(E,1)/r! |
Ω |
0.47921837030917 |
Real period |
R |
1.2280299414323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024c2 |
Quadratic twists by: -3 |