Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350bp |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-536672250000 = -1 · 24 · 33 · 56 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1420,-28953] |
[a1,a2,a3,a4,a6] |
j |
751089429/1272112 |
j-invariant |
L |
3.8907931572307 |
L(r)(E,1)/r! |
Ω |
0.48634914465384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19350b2 774a1 |
Quadratic twists by: -3 5 |