Atkin-Lehner |
2- 3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080ck |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
452834426880 = 216 · 35 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18800,-997932] |
[a1,a2,a3,a4,a6] |
Generators |
[178:1152:1] |
Generators of the group modulo torsion |
j |
179415687049201/110555280 |
j-invariant |
L |
8.7792472748409 |
L(r)(E,1)/r! |
Ω |
0.40773146742548 |
Real period |
R |
2.1531934448617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510l1 |
Quadratic twists by: -4 |