Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
95700bb |
Isogeny class |
Conductor |
95700 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
1378080000 = 28 · 33 · 54 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2733,54063] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:330:1] [-7:270:1] |
Generators of the group modulo torsion |
j |
14115020800/8613 |
j-invariant |
L |
11.808257278217 |
L(r)(E,1)/r! |
Ω |
1.5037388925747 |
Real period |
R |
2.6175327238926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997494 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95700d1 |
Quadratic twists by: 5 |