Atkin-Lehner |
2+ 3+ 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370c |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32651775000000 = 26 · 33 · 58 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10929,-340515] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:327:1] |
Generators of the group modulo torsion |
j |
5347164909372363/1209325000000 |
j-invariant |
L |
3.7261208769219 |
L(r)(E,1)/r! |
Ω |
0.47449985856279 |
Real period |
R |
0.49079583617177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71370r2 |
Quadratic twists by: -3 |