Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1950r |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-947700000000 = -1 · 28 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -5 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20638,1133531] |
[a1,a2,a3,a4,a6] |
Generators |
[35:657:1] |
Generators of the group modulo torsion |
j |
-2488672890625/2426112 |
j-invariant |
L |
3.5892873542284 |
L(r)(E,1)/r! |
Ω |
0.87743825244036 |
Real period |
R |
0.085221745999547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15600cm1 62400dq1 5850t1 1950h1 |
Quadratic twists by: -4 8 -3 5 |