Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
24720l |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-573973966356480 = -1 · 221 · 312 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 -3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-199136,-34156800] |
[a1,a2,a3,a4,a6] |
Generators |
[1296:43392:1] |
Generators of the group modulo torsion |
j |
-213213786511688929/140130362880 |
j-invariant |
L |
3.9795403455411 |
L(r)(E,1)/r! |
Ω |
0.11299645369402 |
Real period |
R |
4.4022845578823 |
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 |
3090i1 98880cd1 74160bv1 123600bv1 |
Quadratic twists by: -4 8 -3 5 |