Atkin-Lehner |
2- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24656f |
Isogeny class |
Conductor |
24656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-3339014144 = -1 · 212 · 233 · 67 |
Discriminant |
Eigenvalues |
2- -1 -1 -4 -2 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64,2752] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:46:1] |
Generators of the group modulo torsion |
j |
6967871/815189 |
j-invariant |
L |
2.1120345333395 |
L(r)(E,1)/r! |
Ω |
1.0848044035589 |
Real period |
R |
0.32448776424741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1541a1 98624o1 |
Quadratic twists by: -4 8 |