Atkin-Lehner |
2- 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80712j |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
55945462238880768 = 210 · 39 · 196 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95715,636174] |
[a1,a2,a3,a4,a6] |
Generators |
[4923:344736:1] |
Generators of the group modulo torsion |
j |
4811411191500/2775706979 |
j-invariant |
L |
6.1064109194492 |
L(r)(E,1)/r! |
Ω |
0.30040695985701 |
Real period |
R |
3.3878547742033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80712b2 |
Quadratic twists by: -3 |