Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
53100r |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2688187500000000 = 28 · 36 · 512 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80175,-8374250] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:166:1] [-145:450:1] |
Generators of the group modulo torsion |
j |
19545784144/921875 |
j-invariant |
L |
8.9506259042904 |
L(r)(E,1)/r! |
Ω |
0.2845491235646 |
Real period |
R |
5.2425780313801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5900b2 10620m2 |
Quadratic twists by: -3 5 |