Atkin-Lehner |
2+ 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070c |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
2352688850430000000 = 27 · 33 · 57 · 176 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-160005834,-778985795212] |
[a1,a2,a3,a4,a6] |
Generators |
[-50092417:25294726:6859] |
Generators of the group modulo torsion |
j |
16779051343619340695364892923/87136624090000000 |
j-invariant |
L |
5.5829418650983 |
L(r)(E,1)/r! |
Ω |
0.042448817857288 |
Real period |
R |
9.3944091242643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29070y2 |
Quadratic twists by: -3 |