Atkin-Lehner |
3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
90387h |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
1284051068454033 = 38 · 119 · 83 |
Discriminant |
Eigenvalues |
-1 3- 4 2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32693,-1476516] |
[a1,a2,a3,a4,a6] |
Generators |
[-10470:107406:125] |
Generators of the group modulo torsion |
j |
2248091/747 |
j-invariant |
L |
6.0916579739327 |
L(r)(E,1)/r! |
Ω |
0.36451930335033 |
Real period |
R |
8.3557412655811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30129a1 90387g1 |
Quadratic twists by: -3 -11 |