Atkin-Lehner |
2+ 3- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23010h |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-6361804800 = -1 · 212 · 34 · 52 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,207,-3644] |
[a1,a2,a3,a4,a6] |
j |
987750361079/6361804800 |
j-invariant |
L |
2.6731750949884 |
L(r)(E,1)/r! |
Ω |
0.6682937737471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030bf1 115050bo1 |
Quadratic twists by: -3 5 |