Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650em |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-415256625000 = -1 · 23 · 37 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,-31003] |
[a1,a2,a3,a4,a6] |
Generators |
[33:46:1] |
Generators of the group modulo torsion |
j |
-1/36456 |
j-invariant |
L |
12.586226581662 |
L(r)(E,1)/r! |
Ω |
0.43309598220214 |
Real period |
R |
1.2108773328171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550be1 3906f1 |
Quadratic twists by: -3 5 |