Atkin-Lehner |
2- 3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
22908d |
Isogeny class |
Conductor |
22908 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
356265216 = 28 · 36 · 23 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -2 4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1909,31463] |
[a1,a2,a3,a4,a6] |
Generators |
[26:9:1] |
Generators of the group modulo torsion |
j |
3006969413632/1391661 |
j-invariant |
L |
7.9753518564085 |
L(r)(E,1)/r! |
Ω |
1.6766238346891 |
Real period |
R |
0.79279876732032 |
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 |
91632o1 68724j1 |
Quadratic twists by: -4 -3 |