Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784n |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
1657339904 = 216 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 11+ 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304,-684] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:32:1] |
Generators of the group modulo torsion |
j |
571787/304 |
j-invariant |
L |
2.3962468721213 |
L(r)(E,1)/r! |
Ω |
1.2142938768606 |
Real period |
R |
0.98668325591697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4598l1 36784k1 |
Quadratic twists by: -4 -11 |