Atkin-Lehner |
2- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
49450s |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
92352 |
Modular degree for the optimal curve |
Δ |
-5007979520000 = -1 · 213 · 54 · 232 · 432 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -1 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6988,246381] |
[a1,a2,a3,a4,a6] |
Generators |
[5:457:1] [-51:713:1] |
Generators of the group modulo torsion |
j |
-60381829567825/8012767232 |
j-invariant |
L |
10.931886399122 |
L(r)(E,1)/r! |
Ω |
0.74400604551766 |
Real period |
R |
0.094187668619574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49450f1 |
Quadratic twists by: 5 |