Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016q |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4064280576 = 222 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1377,-18975] |
[a1,a2,a3,a4,a6] |
Generators |
[15428:236015:64] |
Generators of the group modulo torsion |
j |
1102302937/15504 |
j-invariant |
L |
6.5425318531254 |
L(r)(E,1)/r! |
Ω |
0.78434945889536 |
Real period |
R |
8.3413480799008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016cu1 1938f1 |
Quadratic twists by: -4 8 |