Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23460a |
Isogeny class |
Conductor |
23460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-1055700000000 = -1 · 28 · 33 · 58 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 1 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1284,-46584] |
[a1,a2,a3,a4,a6] |
Generators |
[2261:107500:1] |
Generators of the group modulo torsion |
j |
913777664816/4123828125 |
j-invariant |
L |
3.9841800308668 |
L(r)(E,1)/r! |
Ω |
0.4413080305783 |
Real period |
R |
4.5140579309715 |
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 |
93840bz1 70380bm1 117300ba1 |
Quadratic twists by: -4 -3 5 |