Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960c |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5913600 |
Modular degree for the optimal curve |
Δ |
-1.8026146296E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 1 0 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20682481,36268103281] |
[a1,a2,a3,a4,a6] |
Generators |
[1575036928647:71891829736904:327082769] |
Generators of the group modulo torsion |
j |
-59718885747089141926096/110022865576171875 |
j-invariant |
L |
6.147345276124 |
L(r)(E,1)/r! |
Ω |
0.14877744560633 |
Real period |
R |
20.659533610995 |
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 |
96960de1 12120q1 |
Quadratic twists by: -4 8 |