Atkin-Lehner |
2- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36946o |
Isogeny class |
Conductor |
36946 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-152699763754883072 = -1 · 211 · 79 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 1 2 7- 3 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,126223,7463273] |
[a1,a2,a3,a4,a6] |
Generators |
[746:22363:1] |
Generators of the group modulo torsion |
j |
1890387126561023/1297926576128 |
j-invariant |
L |
12.194840878201 |
L(r)(E,1)/r! |
Ω |
0.20493477575515 |
Real period |
R |
1.3524082161424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278d1 |
Quadratic twists by: -7 |