Atkin-Lehner |
2- 3- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270z |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-48555386718750000 = -1 · 24 · 36 · 512 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4493,-10601243] |
[a1,a2,a3,a4,a6] |
Generators |
[265:2468:1] |
Generators of the group modulo torsion |
j |
-13756717452681/66605468750000 |
j-invariant |
L |
7.8199621160605 |
L(r)(E,1)/r! |
Ω |
0.16229468519911 |
Real period |
R |
3.011482671659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030c2 |
Quadratic twists by: -3 |