Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800cq |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
29200000000 = 210 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- -4 0 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1833,28463] |
[a1,a2,a3,a4,a6] |
Generators |
[3530:529:125] |
Generators of the group modulo torsion |
j |
1703680/73 |
j-invariant |
L |
7.5027372410444 |
L(r)(E,1)/r! |
Ω |
1.1671971707898 |
Real period |
R |
6.4279947174513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800ba1 29200ba1 116800cl1 |
Quadratic twists by: -4 8 5 |