Atkin-Lehner |
2- 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960m |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
188416 |
Modular degree for the optimal curve |
Δ |
6236100000000 = 28 · 32 · 58 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21620,1224900] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:750:1] [-155:910:1] |
Generators of the group modulo torsion |
j |
4365871038550096/24359765625 |
j-invariant |
L |
8.0887639907514 |
L(r)(E,1)/r! |
Ω |
0.75797760704867 |
Real period |
R |
1.3339384824088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999762 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127920v1 |
Quadratic twists by: -4 |