Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19680l |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-60242451148800 = -1 · 212 · 315 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 1 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9485,512475] |
[a1,a2,a3,a4,a6] |
Generators |
[25:540:1] |
Generators of the group modulo torsion |
j |
-23042073442816/14707629675 |
j-invariant |
L |
7.3248362981893 |
L(r)(E,1)/r! |
Ω |
0.57687047681084 |
Real period |
R |
0.21162567660721 |
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 |
19680f1 39360bn1 59040bo1 98400bu1 |
Quadratic twists by: -4 8 -3 5 |