Atkin-Lehner |
3+ 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
80997g |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-41237188311439323 = -1 · 314 · 77 · 192 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10632,-9756636] |
[a1,a2,a3,a4,a6] |
Generators |
[979957:26057850:1331] |
Generators of the group modulo torsion |
j |
1129738223375/350510317227 |
j-invariant |
L |
3.2744201562907 |
L(r)(E,1)/r! |
Ω |
0.17006958350351 |
Real period |
R |
9.626707165152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571i2 |
Quadratic twists by: -7 |