Atkin-Lehner |
2+ 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350j |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
160825500 = 22 · 34 · 53 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1155,14625] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:183:1] [-5:145:1] |
Generators of the group modulo torsion |
j |
1365045221357/1286604 |
j-invariant |
L |
5.1837474962326 |
L(r)(E,1)/r! |
Ω |
1.808219721126 |
Real period |
R |
0.71669214693162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050ec2 31350ch2 |
Quadratic twists by: -3 5 |