Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800dm |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-299200000000 = -1 · 212 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 3 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1769208,906356912] |
[a1,a2,a3,a4,a6] |
Generators |
[692:3600:1] |
Generators of the group modulo torsion |
j |
-382772438090905/187 |
j-invariant |
L |
11.391242081691 |
L(r)(E,1)/r! |
Ω |
0.59059185944749 |
Real period |
R |
1.6073201118267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675p1 74800cb1 |
Quadratic twists by: -4 5 |