Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100bn |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
349920 |
Modular degree for the optimal curve |
Δ |
-247144668750000 = -1 · 24 · 39 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80333,8769588] |
[a1,a2,a3,a4,a6] |
Generators |
[-317:1575:1] |
Generators of the group modulo torsion |
j |
-9173415362560/39543147 |
j-invariant |
L |
8.9524400875848 |
L(r)(E,1)/r! |
Ω |
0.55759487403378 |
Real period |
R |
0.89196979017394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969765 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86100c1 |
Quadratic twists by: 5 |