Atkin-Lehner |
3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78213a |
Isogeny class |
Conductor |
78213 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-20152546084467 = -1 · 33 · 292 · 316 |
Discriminant |
Eigenvalues |
0 3+ 0 -1 0 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6767,-29616] |
[a1,a2,a3,a4,a6] |
Generators |
[96650:1734961:15625] |
Generators of the group modulo torsion |
j |
40742912000000/23962599387 |
j-invariant |
L |
4.5866986139532 |
L(r)(E,1)/r! |
Ω |
0.40154271693897 |
Real period |
R |
5.7113457920513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78213k2 |
Quadratic twists by: 29 |