Atkin-Lehner |
3- 5+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73935g |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-2330845605675 = -1 · 310 · 52 · 313 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 4 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3468,-107586] |
[a1,a2,a3,a4,a6] |
Generators |
[74:202:1] [706:4181:8] |
Generators of the group modulo torsion |
j |
-6327518887936/3197319075 |
j-invariant |
L |
7.6611304842543 |
L(r)(E,1)/r! |
Ω |
0.30379905927148 |
Real period |
R |
1.050739824363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24645h1 |
Quadratic twists by: -3 |