Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4950bh |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-12529687500000 = -1 · 25 · 36 · 511 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2245,164747] |
[a1,a2,a3,a4,a6] |
Generators |
[49:600:1] |
Generators of the group modulo torsion |
j |
109902239/1100000 |
j-invariant |
L |
5.2674140210151 |
L(r)(E,1)/r! |
Ω |
0.52270453817661 |
Real period |
R |
0.50386151604784 |
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 |
39600eb1 550b1 990d1 54450cf1 |
Quadratic twists by: -4 -3 5 -11 |