Atkin-Lehner |
2+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12616b |
Isogeny class |
Conductor |
12616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
-230837273344 = -1 · 28 · 19 · 834 |
Discriminant |
Eigenvalues |
2+ -2 3 -3 5 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1009,-26541] |
[a1,a2,a3,a4,a6] |
Generators |
[575:13778:1] |
Generators of the group modulo torsion |
j |
-444209247232/901708099 |
j-invariant |
L |
3.5193888940552 |
L(r)(E,1)/r! |
Ω |
0.39771427638378 |
Real period |
R |
1.1061297968907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25232e1 100928o1 113544i1 |
Quadratic twists by: -4 8 -3 |