Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bv |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1121734656 = -1 · 212 · 35 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,1791] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:36:1] [3:-36:1] |
Generators of the group modulo torsion |
j |
-3072832/5589 |
j-invariant |
L |
11.797230187869 |
L(r)(E,1)/r! |
Ω |
1.3813888926099 |
Real period |
R |
0.42700611860824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192n1 108192z1 |
Quadratic twists by: -4 -7 |