Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912cx |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-82776661671911424 = -1 · 213 · 3 · 76 · 315 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1093696,-440825932] |
[a1,a2,a3,a4,a6] |
Generators |
[1276:15582:1] |
Generators of the group modulo torsion |
j |
-300238092661681/171774906 |
j-invariant |
L |
7.2337399348317 |
L(r)(E,1)/r! |
Ω |
0.073812593830442 |
Real period |
R |
4.9000716263818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9114r2 1488h2 |
Quadratic twists by: -4 -7 |