Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
12120h |
Isogeny class |
Conductor |
12120 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
11424 |
Modular degree for the optimal curve |
Δ |
-3408750000 = -1 · 24 · 33 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5835,169650] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-15:1] |
Generators of the group modulo torsion |
j |
-1373411683895296/213046875 |
j-invariant |
L |
5.9429086505985 |
L(r)(E,1)/r! |
Ω |
1.3630827182777 |
Real period |
R |
0.10380721809241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24240c1 96960g1 36360r1 60600s1 |
Quadratic twists by: -4 8 -3 5 |