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 |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
99127000000 = 26 · 56 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85813,9639917] |
[a1,a2,a3,a4,a6] |
Generators |
[146:427:1] |
Generators of the group modulo torsion |
j |
241820454028845241/343000000 |
j-invariant |
L |
2.3505258077898 |
L(r)(E,1)/r! |
Ω |
0.90448493248057 |
Real period |
R |
0.64968628093767 |
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 |
101150cg1 20230k1 |
Quadratic twists by: 5 17 |