Atkin-Lehner |
2- 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52560bf |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1362355200000 = -1 · 213 · 36 · 55 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2733,-11374] |
[a1,a2,a3,a4,a6] |
Generators |
[7:90:1] [17:200:1] |
Generators of the group modulo torsion |
j |
756058031/456250 |
j-invariant |
L |
9.1783678915059 |
L(r)(E,1)/r! |
Ω |
0.49758316323805 |
Real period |
R |
0.46114743070165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570j1 5840b1 |
Quadratic twists by: -4 -3 |