Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075bm |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
187972647753515625 = 34 · 58 · 74 · 114 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-591126,-173732477] |
[a1,a2,a3,a4,a6] |
Generators |
[1043:18042:1] |
Generators of the group modulo torsion |
j |
1461984657853945681/12030249456225 |
j-invariant |
L |
10.303256222443 |
L(r)(E,1)/r! |
Ω |
0.17226425647468 |
Real period |
R |
3.7381725441248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015f3 |
Quadratic twists by: 5 |