Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bq |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-12196570950000 = -1 · 24 · 315 · 55 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -5 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1533,169607] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3645:1] |
Generators of the group modulo torsion |
j |
-34158804736/1045659375 |
j-invariant |
L |
4.8422260948114 |
L(r)(E,1)/r! |
Ω |
0.5953186362473 |
Real period |
R |
2.0334598146193 |
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 |
3060h1 48960fp1 4080x1 61200gh1 |
Quadratic twists by: -4 8 -3 5 |