Atkin-Lehner |
2- 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bw |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
280434375000 = 23 · 32 · 58 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1573313,-759706383] |
[a1,a2,a3,a4,a6] |
Generators |
[15566546622:3613445069989:287496] |
Generators of the group modulo torsion |
j |
27564435120476971081/17947800 |
j-invariant |
L |
14.301868357561 |
L(r)(E,1)/r! |
Ω |
0.13480182455792 |
Real period |
R |
17.682584987447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010e2 |
Quadratic twists by: 5 |