Atkin-Lehner |
2- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101738u |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-7857118304672 = -1 · 25 · 7 · 138 · 43 |
Discriminant |
Eigenvalues |
2- -1 2 7- -3 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3123,118243] |
[a1,a2,a3,a4,a6] |
Generators |
[161:2116:1] |
Generators of the group modulo torsion |
j |
697864103/1627808 |
j-invariant |
L |
9.3542517107903 |
L(r)(E,1)/r! |
Ω |
0.51498332325289 |
Real period |
R |
0.90820918812779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826a1 |
Quadratic twists by: 13 |