Atkin-Lehner |
3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6903f |
Isogeny class |
Conductor |
6903 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-407615247 = -1 · 312 · 13 · 59 |
Discriminant |
Eigenvalues |
1 3- 0 2 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,63,-968] |
[a1,a2,a3,a4,a6] |
Generators |
[1668:12278:27] |
Generators of the group modulo torsion |
j |
37595375/559143 |
j-invariant |
L |
5.2779745193449 |
L(r)(E,1)/r! |
Ω |
0.82297231143897 |
Real period |
R |
6.4133075268551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448bq1 2301a1 89739f1 |
Quadratic twists by: -4 -3 13 |