Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
94752b |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
155648 |
Modular degree for the optimal curve |
Δ |
-22005121666752 = -1 · 26 · 33 · 78 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6435,107056] |
[a1,a2,a3,a4,a6] |
Generators |
[572:-13818:1] |
Generators of the group modulo torsion |
j |
17053975224000/12734445409 |
j-invariant |
L |
7.1314944489075 |
L(r)(E,1)/r! |
Ω |
0.43353878300322 |
Real period |
R |
1.0280934948519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752a1 94752w1 |
Quadratic twists by: -4 -3 |