Atkin-Lehner |
2+ 3- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546u |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-116633287507968 = -1 · 214 · 39 · 72 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10908,276048] |
[a1,a2,a3,a4,a6] |
Generators |
[57:1011:1] |
Generators of the group modulo torsion |
j |
196883434109375/159990792192 |
j-invariant |
L |
4.4743042518171 |
L(r)(E,1)/r! |
Ω |
0.38121036019359 |
Real period |
R |
2.9342750892008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182x1 |
Quadratic twists by: -3 |