Atkin-Lehner |
3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46023b |
Isogeny class |
Conductor |
46023 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-7459453863 = -1 · 36 · 233 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,127,-4066] |
[a1,a2,a3,a4,a6] |
Generators |
[381:7261:1] |
Generators of the group modulo torsion |
j |
18609625/613089 |
j-invariant |
L |
3.5043665003385 |
L(r)(E,1)/r! |
Ω |
0.63639135512948 |
Real period |
R |
2.7533108928241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46023c1 |
Quadratic twists by: -23 |