Atkin-Lehner |
5- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
92365p |
Isogeny class |
Conductor |
92365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3410575685335 = -1 · 5 · 77 · 134 · 29 |
Discriminant |
Eigenvalues |
1 0 5- 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1724,-92597] |
[a1,a2,a3,a4,a6] |
Generators |
[28866:928327:27] |
Generators of the group modulo torsion |
j |
-4818245769/28989415 |
j-invariant |
L |
6.4203081226265 |
L(r)(E,1)/r! |
Ω |
0.33133474746251 |
Real period |
R |
4.8442761894064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195e1 |
Quadratic twists by: -7 |