Atkin-Lehner |
2+ 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350s |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
480056864040000000 = 29 · 32 · 57 · 132 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-284276,-47900302] |
[a1,a2,a3,a4,a6] |
Generators |
[-378:2551:1] |
Generators of the group modulo torsion |
j |
162600575280910129/30723639298560 |
j-invariant |
L |
5.9780089340613 |
L(r)(E,1)/r! |
Ω |
0.20946562781227 |
Real period |
R |
3.5674164156508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670s2 |
Quadratic twists by: 5 |