Atkin-Lehner |
3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
42237f |
Isogeny class |
Conductor |
42237 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
45158400 |
Modular degree for the optimal curve |
Δ |
-5.1702351645871E+28 |
Discriminant |
Eigenvalues |
2 3- -1 -1 -5 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,329674947,10694535362707] |
[a1,a2,a3,a4,a6] |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
0.84156284895425 |
L(r)(E,1)/r! |
Ω |
0.026298839028953 |
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 |
14079c1 2223b1 |
Quadratic twists by: -3 -19 |