Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ei |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-27028757109375000 = -1 · 23 · 313 · 510 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121055,18068447] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:4630:1] |
Generators of the group modulo torsion |
j |
-27557573425/3796632 |
j-invariant |
L |
10.792075420492 |
L(r)(E,1)/r! |
Ω |
0.36320637183718 |
Real period |
R |
2.4761118966035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bb1 97650cb1 |
Quadratic twists by: -3 5 |