Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192p |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-131970960543744 = -1 · 212 · 35 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -2 -1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8689,631679] |
[a1,a2,a3,a4,a6] |
Generators |
[65:588:1] |
Generators of the group modulo torsion |
j |
-3072832/5589 |
j-invariant |
L |
10.502359921369 |
L(r)(E,1)/r! |
Ω |
0.52211592481612 |
Real period |
R |
0.67049987852939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192z1 108192n1 |
Quadratic twists by: -4 -7 |