Atkin-Lehner |
2- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
58432m |
Isogeny class |
Conductor |
58432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1853429383168 = -1 · 224 · 113 · 83 |
Discriminant |
Eigenvalues |
2- -2 0 1 11+ -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-348833,79184095] |
[a1,a2,a3,a4,a6] |
Generators |
[341:12:1] |
Generators of the group modulo torsion |
j |
-17907613978515625/7070272 |
j-invariant |
L |
3.1297462079583 |
L(r)(E,1)/r! |
Ω |
0.67697884478583 |
Real period |
R |
2.311553922141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58432f2 14608d2 |
Quadratic twists by: -4 8 |