Atkin-Lehner |
3- 5- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85095q |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
4652569125 = 39 · 53 · 31 · 61 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 0 -1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-957,10912] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-68:1] |
Generators of the group modulo torsion |
j |
132963364864/6382125 |
j-invariant |
L |
3.3561472551791 |
L(r)(E,1)/r! |
Ω |
1.3575166167718 |
Real period |
R |
0.20602247835765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28365a1 |
Quadratic twists by: -3 |