Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960cp |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1130941440 = -1 · 210 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 -6 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2245,-40235] |
[a1,a2,a3,a4,a6] |
Generators |
[317:5568:1] |
Generators of the group modulo torsion |
j |
-1222548865024/1104435 |
j-invariant |
L |
3.5699212099712 |
L(r)(E,1)/r! |
Ω |
0.34675747059876 |
Real period |
R |
5.1475765062578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999773777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960bk1 24240bj1 |
Quadratic twists by: -4 8 |