Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450l |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-163281250 = -1 · 2 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,133,-209] |
[a1,a2,a3,a4,a6] |
Generators |
[3:13:1] |
Generators of the group modulo torsion |
j |
663255/418 |
j-invariant |
L |
2.6448401732797 |
L(r)(E,1)/r! |
Ω |
1.0441540433892 |
Real period |
R |
2.5329980667363 |
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 |
83600ct1 94050eh1 10450x1 114950dh1 |
Quadratic twists by: -4 -3 5 -11 |