Atkin-Lehner |
3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075ba |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608000 |
Modular degree for the optimal curve |
Δ |
273868751953125 = 34 · 59 · 75 · 103 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1822583,946455869] |
[a1,a2,a3,a4,a6] |
Generators |
[783:187:1] |
Generators of the group modulo torsion |
j |
342811874404302848/140220801 |
j-invariant |
L |
6.2515841386477 |
L(r)(E,1)/r! |
Ω |
0.44704153137307 |
Real period |
R |
1.7480434422763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54075r1 |
Quadratic twists by: 5 |