Atkin-Lehner |
2- 3- 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810bg |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
Δ |
201561850773504000 = 221 · 36 · 53 · 132 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1398101911,20121198379241] |
[a1,a2,a3,a4,a6] |
Generators |
[2698420:-1361183:125] |
Generators of the group modulo torsion |
j |
302231829544754295268709560213489/201561850773504000 |
j-invariant |
L |
8.7552102842788 |
L(r)(E,1)/r! |
Ω |
0.13731122310623 |
Real period |
R |
4.554414045813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
92430u2 |
Quadratic twists by: -3 |