Atkin-Lehner |
3- 5- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
92655h |
Isogeny class |
Conductor |
92655 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-244852419375 = -1 · 38 · 54 · 292 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 -6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6512,205274] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:571:1] [42:-89:1] |
Generators of the group modulo torsion |
j |
-41886766402489/335874375 |
j-invariant |
L |
7.406818373119 |
L(r)(E,1)/r! |
Ω |
0.99253224281028 |
Real period |
R |
0.93281835762376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30885g1 |
Quadratic twists by: -3 |