Atkin-Lehner |
3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92925o |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-23521640625 = -1 · 36 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,-7378] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-245:1] |
Generators of the group modulo torsion |
j |
-1/2065 |
j-invariant |
L |
3.7115489424086 |
L(r)(E,1)/r! |
Ω |
0.54972921558102 |
Real period |
R |
0.84394935627309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10325d1 18585e1 |
Quadratic twists by: -3 5 |