Atkin-Lehner |
2- 3- 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506x |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
109367496 = 23 · 37 · 7 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-146,444] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-26:1] |
Generators of the group modulo torsion |
j |
344324701729/109367496 |
j-invariant |
L |
10.250095601453 |
L(r)(E,1)/r! |
Ω |
1.7358514959547 |
Real period |
R |
0.28118752766748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112518j1 |
Quadratic twists by: -3 |