Atkin-Lehner |
2+ 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92720h |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-21492496000000 = -1 · 210 · 56 · 192 · 612 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5160,173188] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:190:1] [16:510:1] |
Generators of the group modulo torsion |
j |
14835038988956/20988765625 |
j-invariant |
L |
6.6939812029338 |
L(r)(E,1)/r! |
Ω |
0.46011507996384 |
Real period |
R |
1.2123744496323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46360b2 |
Quadratic twists by: -4 |