Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bw |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3022570687500 = 22 · 312 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48913,4142531] |
[a1,a2,a3,a4,a6] |
Generators |
[135:82:1] |
Generators of the group modulo torsion |
j |
828279937799497/193444524 |
j-invariant |
L |
6.0090755565915 |
L(r)(E,1)/r! |
Ω |
0.78018945516742 |
Real period |
R |
1.9255180638471 |
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 |
109200fe4 40950bl4 546c3 95550kb4 |
Quadratic twists by: -4 -3 5 -7 |