Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072n |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20195722939392 = 210 · 39 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11- 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-253587,49151230] |
[a1,a2,a3,a4,a6] |
Generators |
[303:364:1] [-334:9828:1] |
Generators of the group modulo torsion |
j |
2415890159871556/27054027 |
j-invariant |
L |
8.0819190816805 |
L(r)(E,1)/r! |
Ω |
0.61989341689578 |
Real period |
R |
0.81484966420859 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024z2 |
Quadratic twists by: -3 |