Atkin-Lehner |
5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43225b |
Isogeny class |
Conductor |
43225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-1344449462890625 = -1 · 513 · 73 · 132 · 19 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ -6 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-98001,11931273] |
[a1,a2,a3,a4,a6] |
Generators |
[207:621:1] |
Generators of the group modulo torsion |
j |
-6661757775617281/86044765625 |
j-invariant |
L |
6.6190335206999 |
L(r)(E,1)/r! |
Ω |
0.4834705151435 |
Real period |
R |
3.4226665915398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8645a1 |
Quadratic twists by: 5 |