Atkin-Lehner |
2- 3- 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35298i |
Isogeny class |
Conductor |
35298 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-6770438784 = -1 · 27 · 36 · 372 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 1 -6 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,382,-2815] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-161:1] [9:31:1] |
Generators of the group modulo torsion |
j |
8477185319/9287296 |
j-invariant |
L |
10.875108183166 |
L(r)(E,1)/r! |
Ω |
0.71930841816096 |
Real period |
R |
0.53995853659039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3922a1 |
Quadratic twists by: -3 |