Atkin-Lehner |
13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10309c |
Isogeny class |
Conductor |
10309 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3035334012841 = -1 · 138 · 612 |
Discriminant |
Eigenvalues |
-1 0 -2 4 -4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1891,-89124] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2555:1] |
Generators of the group modulo torsion |
j |
-154854153/628849 |
j-invariant |
L |
2.2263931430818 |
L(r)(E,1)/r! |
Ω |
0.33010114800491 |
Real period |
R |
3.3722893066835 |
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 |
92781h2 793a2 |
Quadratic twists by: -3 13 |