Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800bl |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-1.844717412449E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11+ -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-430848,-233704012] |
[a1,a2,a3,a4,a6] |
Generators |
[1807:69938:1] |
Generators of the group modulo torsion |
j |
-86376779442831145/180148184809472 |
j-invariant |
L |
5.460984682848 |
L(r)(E,1)/r! |
Ω |
0.087408133685662 |
Real period |
R |
3.1238424012319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350be1 74800cp2 |
Quadratic twists by: -4 5 |