Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cm |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
118879488000 = 211 · 36 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3088,-64972] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:18:1] |
Generators of the group modulo torsion |
j |
12724954954/464373 |
j-invariant |
L |
9.4026222631359 |
L(r)(E,1)/r! |
Ω |
0.64186279013089 |
Real period |
R |
1.2207466543132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600br2 109200z2 |
Quadratic twists by: -4 5 |