Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4950s |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-338301562500 = -1 · 22 · 39 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,-27959] |
[a1,a2,a3,a4,a6] |
Generators |
[44:203:1] |
Generators of the group modulo torsion |
j |
-625/1188 |
j-invariant |
L |
3.0651861724011 |
L(r)(E,1)/r! |
Ω |
0.43502603161638 |
Real period |
R |
0.58716527855664 |
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 |
39600fd1 1650p1 4950bg1 54450hg1 |
Quadratic twists by: -4 -3 5 -11 |