Atkin-Lehner |
2+ 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
6486m |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-768026251008 = -1 · 28 · 310 · 23 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -4 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-238,-42208] |
[a1,a2,a3,a4,a6] |
Generators |
[46:188:1] |
Generators of the group modulo torsion |
j |
-1481933914201/768026251008 |
j-invariant |
L |
2.3346096839 |
L(r)(E,1)/r! |
Ω |
0.40338495123188 |
Real period |
R |
0.57875477921782 |
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 |
51888l1 19458i1 |
Quadratic twists by: -4 -3 |