Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
92256l |
Isogeny class |
Conductor |
92256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-42259375274496 = -1 · 29 · 3 · 317 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -1 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7368,193944] |
[a1,a2,a3,a4,a6] |
Generators |
[602:8649:8] |
Generators of the group modulo torsion |
j |
97336/93 |
j-invariant |
L |
3.4992467773742 |
L(r)(E,1)/r! |
Ω |
0.42179474235924 |
Real period |
R |
2.0740222769295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92256j1 2976f1 |
Quadratic twists by: -4 -31 |