Atkin-Lehner |
2+ 3- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71370f |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2434944564000000 = 28 · 310 · 56 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-752310,-250956684] |
[a1,a2,a3,a4,a6] |
Generators |
[-500:354:1] |
Generators of the group modulo torsion |
j |
64593231554906552161/3340116000000 |
j-invariant |
L |
2.3832468141545 |
L(r)(E,1)/r! |
Ω |
0.16210696183695 |
Real period |
R |
1.8377116469289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790u2 |
Quadratic twists by: -3 |