Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928o |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3093037056 = -1 · 218 · 33 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,309,-1670] |
[a1,a2,a3,a4,a6] |
Generators |
[6:20:1] |
Generators of the group modulo torsion |
j |
29503629/27968 |
j-invariant |
L |
4.6750945633212 |
L(r)(E,1)/r! |
Ω |
0.77663404358593 |
Real period |
R |
3.0098439552873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7866p1 62928n1 |
Quadratic twists by: -4 -3 |