Atkin-Lehner |
2- 3- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91512i |
Isogeny class |
Conductor |
91512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-9725163264 = -1 · 28 · 36 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,5650] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:90:1] |
Generators of the group modulo torsion |
j |
-37642192/52111 |
j-invariant |
L |
6.7564524224391 |
L(r)(E,1)/r! |
Ω |
1.1639778786424 |
Real period |
R |
1.4511556764713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10168a1 |
Quadratic twists by: -3 |