Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13020b |
Isogeny class |
Conductor |
13020 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-4846369046122800 = -1 · 24 · 37 · 52 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6585,-3357900] |
[a1,a2,a3,a4,a6] |
Generators |
[660:16740:1] |
Generators of the group modulo torsion |
j |
-1973953954103296/302898065382675 |
j-invariant |
L |
6.0076569195816 |
L(r)(E,1)/r! |
Ω |
0.19255850099976 |
Real period |
R |
2.2285089942574 |
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 |
52080bk1 39060c1 65100m1 91140c1 |
Quadratic twists by: -4 -3 5 -7 |