Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19680i |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
-385869381120 = -1 · 29 · 37 · 5 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2616,58680] |
[a1,a2,a3,a4,a6] |
Generators |
[174:2214:1] |
Generators of the group modulo torsion |
j |
-3868414248392/753651135 |
j-invariant |
L |
6.2145838204919 |
L(r)(E,1)/r! |
Ω |
0.91185729936667 |
Real period |
R |
0.16226911989744 |
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 |
19680c1 39360ce1 59040bs1 98400bz1 |
Quadratic twists by: -4 8 -3 5 |