Atkin-Lehner |
2+ 3+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5934c |
Isogeny class |
Conductor |
5934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-628909056 = -1 · 210 · 33 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 -5 5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58494,5420916] |
[a1,a2,a3,a4,a6] |
Generators |
[140:-54:1] |
Generators of the group modulo torsion |
j |
-22134477536965464553/628909056 |
j-invariant |
L |
2.1059145008694 |
L(r)(E,1)/r! |
Ω |
1.1864902394694 |
Real period |
R |
0.44372773386893 |
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 |
47472j1 17802r1 |
Quadratic twists by: -4 -3 |