Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630n |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
30950400 |
Modular degree for the optimal curve |
Δ |
-5.2786011512662E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 6 -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32577433,79646412668] |
[a1,a2,a3,a4,a6] |
Generators |
[5434:248450:1] |
Generators of the group modulo torsion |
j |
-74215610396057521/10245657600000 |
j-invariant |
L |
8.8617818567868 |
L(r)(E,1)/r! |
Ω |
0.089654745617398 |
Real period |
R |
1.235542769755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1830l1 |
Quadratic twists by: 61 |