Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805i |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-69809561743021875 = -1 · 38 · 55 · 237 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 4 0 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3481878,-2500771721] |
[a1,a2,a3,a4,a6] |
Generators |
[4550672443973:-546400995901042:310288733] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
4.0816388141651 |
L(r)(E,1)/r! |
Ω |
0.055260623646407 |
Real period |
R |
18.46540332354 |
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 |
7935d1 119025q1 1035c1 |
Quadratic twists by: -3 5 -23 |