Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
63525ci |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
4756446127125 = 35 · 53 · 76 · 113 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71673,7378812] |
[a1,a2,a3,a4,a6] |
Generators |
[-309:369:1] [147:84:1] |
Generators of the group modulo torsion |
j |
244738769070151/28588707 |
j-invariant |
L |
8.1048699466234 |
L(r)(E,1)/r! |
Ω |
0.74128894368277 |
Real period |
R |
0.36444942806281 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63525y2 63525ca2 |
Quadratic twists by: 5 -11 |