Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680co |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
151856640000 = 212 · 33 · 54 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3003,-60502] |
[a1,a2,a3,a4,a6] |
Generators |
[74:350:1] |
Generators of the group modulo torsion |
j |
12326391/625 |
j-invariant |
L |
7.886821575948 |
L(r)(E,1)/r! |
Ω |
0.64695866252 |
Real period |
R |
3.0476528172807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7605d2 121680db2 121680dc2 |
Quadratic twists by: -4 -3 13 |