Atkin-Lehner |
2+ 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010m |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1545771600000 = -1 · 27 · 38 · 55 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 2 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11115,-452219] |
[a1,a2,a3,a4,a6] |
j |
-208327481285041/2120400000 |
j-invariant |
L |
0.46468304586857 |
L(r)(E,1)/r! |
Ω |
0.23234152352454 |
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 |
17670p1 |
Quadratic twists by: -3 |