Atkin-Lehner |
2+ 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998a |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-72962843617787904 = -1 · 218 · 34 · 112 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 11- 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,95027,6502621] |
[a1,a2,a3,a4,a6] |
j |
784282017339554591/602998707585024 |
j-invariant |
L |
1.7716007702875 |
L(r)(E,1)/r! |
Ω |
0.22145009613095 |
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 |
52998o1 |
Quadratic twists by: -11 |