Atkin-Lehner |
2+ 3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630v |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
353566458000 = 24 · 36 · 53 · 74 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1779,-3547] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-671:1] |
Generators of the group modulo torsion |
j |
854400197169/485002000 |
j-invariant |
L |
5.5391932391994 |
L(r)(E,1)/r! |
Ω |
0.79371321613841 |
Real period |
R |
0.29078477413274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7070f1 |
Quadratic twists by: -3 |