Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010w |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-38644290 = -1 · 2 · 38 · 5 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -2 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-297] |
[a1,a2,a3,a4,a6] |
j |
-117649/53010 |
j-invariant |
L |
1.8387153718188 |
L(r)(E,1)/r! |
Ω |
0.91935768580895 |
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 |
17670t1 |
Quadratic twists by: -3 |