Atkin-Lehner |
3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36603l |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-192201877161 = -1 · 39 · 76 · 83 |
Discriminant |
Eigenvalues |
1 3- 1 7- 3 6 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24264,1460997] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1329:1] |
Generators of the group modulo torsion |
j |
-18420660721/2241 |
j-invariant |
L |
8.097108028352 |
L(r)(E,1)/r! |
Ω |
0.96934156922141 |
Real period |
R |
1.0441505199834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12201m1 747c1 |
Quadratic twists by: -3 -7 |