Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
7080c |
Isogeny class |
Conductor |
7080 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-11947500000000 = -1 · 28 · 34 · 510 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9060,374292] |
[a1,a2,a3,a4,a6] |
Generators |
[14:500:1] |
Generators of the group modulo torsion |
j |
-321304105131856/46669921875 |
j-invariant |
L |
3.139923795056 |
L(r)(E,1)/r! |
Ω |
0.69042021464461 |
Real period |
R |
0.45478445278029 |
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 |
14160i2 56640y2 21240i2 35400q2 |
Quadratic twists by: -4 8 -3 5 |