Atkin-Lehner |
2+ 3- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110bg |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-276502468320000 = -1 · 28 · 36 · 54 · 134 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33399,2490205] |
[a1,a2,a3,a4,a6] |
Generators |
[126:457:1] |
Generators of the group modulo torsion |
j |
-5652022596440689/379290080000 |
j-invariant |
L |
5.4900385010276 |
L(r)(E,1)/r! |
Ω |
0.54069910066427 |
Real period |
R |
0.31729977548801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10790e1 |
Quadratic twists by: -3 |