Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016o |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-63504384 = -1 · 216 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 -2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-383] |
[a1,a2,a3,a4,a6] |
Generators |
[9:16:1] |
Generators of the group modulo torsion |
j |
-4/969 |
j-invariant |
L |
3.2310859477705 |
L(r)(E,1)/r! |
Ω |
0.89872934528205 |
Real period |
R |
0.89879282483574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62016cr1 7752j1 |
Quadratic twists by: -4 8 |