Atkin-Lehner |
2- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12236d |
Isogeny class |
Conductor |
12236 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-117514544 = -1 · 24 · 75 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,196] |
[a1,a2,a3,a4,a6] |
Generators |
[0:14:1] |
Generators of the group modulo torsion |
j |
11550212096/7344659 |
j-invariant |
L |
5.2703771425842 |
L(r)(E,1)/r! |
Ω |
1.1611988797374 |
Real period |
R |
0.90774754170902 |
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 |
48944q1 110124o1 85652h1 |
Quadratic twists by: -4 -3 -7 |