Atkin-Lehner |
2+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45496d |
Isogeny class |
Conductor |
45496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-13731480083166208 = -1 · 210 · 1111 · 47 |
Discriminant |
Eigenvalues |
2+ 2 -2 -3 11- 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-336904,75590748] |
[a1,a2,a3,a4,a6] |
Generators |
[378:1452:1] |
Generators of the group modulo torsion |
j |
-2331242411908/7569397 |
j-invariant |
L |
6.2878996595182 |
L(r)(E,1)/r! |
Ω |
0.39857758004354 |
Real period |
R |
1.9719811068022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90992e1 4136e1 |
Quadratic twists by: -4 -11 |