Atkin-Lehner |
2- 3- 5+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330bd |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3928547214451260 = -1 · 22 · 37 · 5 · 176 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19013,3184697] |
[a1,a2,a3,a4,a6] |
Generators |
[987:30250:1] |
Generators of the group modulo torsion |
j |
-1042621590184201/5388953654940 |
j-invariant |
L |
9.7615378810145 |
L(r)(E,1)/r! |
Ω |
0.38179749764517 |
Real period |
R |
3.1959146971073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110k1 |
Quadratic twists by: -3 |