Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800cr |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-1870000 = -1 · 24 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 3 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-88] |
[a1,a2,a3,a4,a6] |
Generators |
[58:9:8] |
Generators of the group modulo torsion |
j |
-409600/187 |
j-invariant |
L |
10.895758342866 |
L(r)(E,1)/r! |
Ω |
0.97206110436299 |
Real period |
R |
3.7363077599706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18700m1 74800bo1 |
Quadratic twists by: -4 5 |