Atkin-Lehner |
2- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49300n |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1202377700000000 = -1 · 28 · 58 · 17 · 294 |
Discriminant |
Eigenvalues |
2- -1 5- -3 0 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17292,-1426088] |
[a1,a2,a3,a4,a6] |
Generators |
[1917:84100:1] |
Generators of the group modulo torsion |
j |
5717870000/12023777 |
j-invariant |
L |
3.1601745023964 |
L(r)(E,1)/r! |
Ω |
0.25296939804554 |
Real period |
R |
2.0820532225309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49300f1 |
Quadratic twists by: 5 |