Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008bs |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-12696914571264 = -1 · 212 · 36 · 75 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5819,12397] |
[a1,a2,a3,a4,a6] |
Generators |
[4:189:1] |
Generators of the group modulo torsion |
j |
5319051554816/3099832659 |
j-invariant |
L |
5.0059207244693 |
L(r)(E,1)/r! |
Ω |
0.42905325465581 |
Real period |
R |
1.166736453345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5313d1 |
Quadratic twists by: -4 |