Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960bm |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-620544000 = -1 · 214 · 3 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785,-8817] |
[a1,a2,a3,a4,a6] |
Generators |
[33:48:1] |
Generators of the group modulo torsion |
j |
-3269383504/37875 |
j-invariant |
L |
8.678329223675 |
L(r)(E,1)/r! |
Ω |
0.4506157519747 |
Real period |
R |
3.2098039156888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960cn1 12120c1 |
Quadratic twists by: -4 8 |