Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4950a |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-30412800 = -1 · 212 · 33 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,78,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[20:86:1] |
Generators of the group modulo torsion |
j |
77191245/45056 |
j-invariant |
L |
2.8628217206458 |
L(r)(E,1)/r! |
Ω |
1.2325285987241 |
Real period |
R |
0.58068058696759 |
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 |
39600cd1 4950y2 4950ba1 54450eb1 |
Quadratic twists by: -4 -3 5 -11 |