Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20230b |
Isogeny class |
Conductor |
20230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
76429344263372800 = 218 · 52 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-109188,3946192] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:2572:1] |
Generators of the group modulo torsion |
j |
498146195040339241/264461398835200 |
j-invariant |
L |
2.3505258077898 |
L(r)(E,1)/r! |
Ω |
0.30149497749352 |
Real period |
R |
1.949058842813 |
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 |
101150cg2 20230k2 |
Quadratic twists by: 5 17 |