Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805p |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-7756617971446875 = -1 · 36 · 55 · 237 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 2 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,33327,-3531472] |
[a1,a2,a3,a4,a6] |
Generators |
[759:21424:1] |
Generators of the group modulo torsion |
j |
37933056/71875 |
j-invariant |
L |
2.2026570863509 |
L(r)(E,1)/r! |
Ω |
0.21766230309955 |
Real period |
R |
2.5299018881366 |
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 |
2645c1 119025bo1 1035e1 |
Quadratic twists by: -3 5 -23 |