Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bw |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-115720246687500 = -1 · 22 · 33 · 56 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10087,344531] |
[a1,a2,a3,a4,a6] |
Generators |
[11:670:1] |
Generators of the group modulo torsion |
j |
7264187703863/7406095788 |
j-invariant |
L |
6.0090755565915 |
L(r)(E,1)/r! |
Ω |
0.39009472758371 |
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 |
109200fe3 40950bl3 546c4 95550kb3 |
Quadratic twists by: -4 -3 5 -7 |