Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600i |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-12643750000 = -1 · 24 · 58 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -3 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18875,998125] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1411:1] [76:51:1] |
Generators of the group modulo torsion |
j |
-118988386560/2023 |
j-invariant |
L |
8.8050508285369 |
L(r)(E,1)/r! |
Ω |
1.1597304386139 |
Real period |
R |
3.7961626837444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23800l1 47600g1 |
Quadratic twists by: -4 5 |