Atkin-Lehner |
2- 3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bb |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-230295418056540 = -1 · 22 · 39 · 5 · 194 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6127,-707939] |
[a1,a2,a3,a4,a6] |
Generators |
[211912:4256359:512] |
Generators of the group modulo torsion |
j |
1292535591957/11700219380 |
j-invariant |
L |
9.070516527158 |
L(r)(E,1)/r! |
Ω |
0.276104929677 |
Real period |
R |
8.212925200196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570e1 |
Quadratic twists by: -3 |