Atkin-Lehner |
2- 7+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101332a |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-524550772592 = -1 · 24 · 78 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 11+ -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1715,21609] |
[a1,a2,a3,a4,a6] |
Generators |
[0:147:1] |
Generators of the group modulo torsion |
j |
6048000/5687 |
j-invariant |
L |
4.7500419665121 |
L(r)(E,1)/r! |
Ω |
0.6071517780159 |
Real period |
R |
1.3039139300499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101332c1 |
Quadratic twists by: -7 |