Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648ce |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-18042903871488 = -1 · 214 · 36 · 19 · 433 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -4 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39891,3073426] |
[a1,a2,a3,a4,a6] |
Generators |
[71:774:1] |
Generators of the group modulo torsion |
j |
-2351045349073/6042532 |
j-invariant |
L |
3.1396553235795 |
L(r)(E,1)/r! |
Ω |
0.69203691879844 |
Real period |
R |
0.37806934187954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14706d1 13072i1 |
Quadratic twists by: -4 -3 |