Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10092d |
Isogeny class |
Conductor |
10092 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-1170672 = -1 · 24 · 3 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 3 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-222,-1203] |
[a1,a2,a3,a4,a6] |
Generators |
[23:73:1] |
Generators of the group modulo torsion |
j |
-3114752/3 |
j-invariant |
L |
4.2564297424673 |
L(r)(E,1)/r! |
Ω |
0.61814922891269 |
Real period |
R |
3.4428820286278 |
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 |
40368bp1 30276q1 10092i1 |
Quadratic twists by: -4 -3 29 |