Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686ca |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-132777579273413256 = -1 · 23 · 33 · 73 · 1311 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,56020,-16748971] |
[a1,a2,a3,a4,a6] |
Generators |
[35855:581791:125] |
Generators of the group modulo torsion |
j |
11743520417/80199288 |
j-invariant |
L |
8.6594691047987 |
L(r)(E,1)/r! |
Ω |
0.16378735261998 |
Real period |
R |
2.2029247492469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686da1 3822g1 |
Quadratic twists by: -7 13 |