Atkin-Lehner |
2- 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
19140l |
Isogeny class |
Conductor |
19140 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-1452705788160 = -1 · 28 · 35 · 5 · 115 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39380,-3021612] |
[a1,a2,a3,a4,a6] |
j |
-26382862282835536/5674631985 |
j-invariant |
L |
4.2362747267542 |
L(r)(E,1)/r! |
Ω |
0.16945098907017 |
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 |
76560bo1 57420f1 95700l1 |
Quadratic twists by: -4 -3 5 |