Atkin-Lehner |
2+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52142h |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2505600 |
Modular degree for the optimal curve |
Δ |
-3845894422844168 = -1 · 23 · 298 · 312 |
Discriminant |
Eigenvalues |
2+ -3 0 2 1 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9839437,11882106253] |
[a1,a2,a3,a4,a6] |
j |
-210596186111625/7688 |
j-invariant |
L |
0.65211621800165 |
L(r)(E,1)/r! |
Ω |
0.32605810812961 |
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 |
52142r1 |
Quadratic twists by: 29 |