Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742cp |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
6607397452797306 = 2 · 36 · 113 · 237 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54851,3039113] |
[a1,a2,a3,a4,a6] |
Generators |
[2868:50905:64] |
Generators of the group modulo torsion |
j |
169112377/61226 |
j-invariant |
L |
10.817888475957 |
L(r)(E,1)/r! |
Ω |
0.3863970556034 |
Real period |
R |
2.3330682619035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638e1 4554be1 |
Quadratic twists by: -3 -23 |