Atkin-Lehner |
3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42135d |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1853280 |
Modular degree for the optimal curve |
Δ |
-2.1069776121731E+21 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 0 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1380155,2295397628] |
[a1,a2,a3,a4,a6] |
j |
-13117540040704/95061508875 |
j-invariant |
L |
0.75659731368989 |
L(r)(E,1)/r! |
Ω |
0.12609955227371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126405j1 795c1 |
Quadratic twists by: -3 53 |