Atkin-Lehner |
2- 3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
20394z |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
94812641431992 = 23 · 321 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45905,-3745015] |
[a1,a2,a3,a4,a6] |
Generators |
[-15855:27548:125] |
Generators of the group modulo torsion |
j |
14674634379015625/130058493048 |
j-invariant |
L |
7.589688553959 |
L(r)(E,1)/r! |
Ω |
0.32633792419486 |
Real period |
R |
1.9380954503639 |
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 |
6798g1 |
Quadratic twists by: -3 |