Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800cd |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-107842066672947200 = -1 · 212 · 52 · 118 · 173 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 11- 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-449035,-116888710] |
[a1,a2,a3,a4,a6] |
Generators |
[827517:144836758:27] |
Generators of the group modulo torsion |
j |
-97783220255527305/1053145182353 |
j-invariant |
L |
10.838853488846 |
L(r)(E,1)/r! |
Ω |
0.092155393571551 |
Real period |
R |
7.3509353779402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675d1 74800dr1 |
Quadratic twists by: -4 5 |