Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850ca |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-23692500 = -1 · 22 · 36 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,-1303] |
[a1,a2,a3,a4,a6] |
Generators |
[33:145:1] |
Generators of the group modulo torsion |
j |
-2941225/52 |
j-invariant |
L |
5.5891219615153 |
L(r)(E,1)/r! |
Ω |
0.61253315005411 |
Real period |
R |
2.2811508083365 |
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 |
46800ff1 650g1 5850h1 76050cl1 |
Quadratic twists by: -4 -3 5 13 |