Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bw |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
244608 |
Modular degree for the optimal curve |
Δ |
-1223826117563322 = -1 · 2 · 37 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1602,-1682283] |
[a1,a2,a3,a4,a6] |
Generators |
[1156504084:69575123541:314432] |
Generators of the group modulo torsion |
j |
1625/4374 |
j-invariant |
L |
7.0714738091919 |
L(r)(E,1)/r! |
Ω |
0.22526350347394 |
Real period |
R |
15.69600423529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686cu2 49686d1 |
Quadratic twists by: -7 13 |