Atkin-Lehner |
2- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62234l |
Isogeny class |
Conductor |
62234 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1252800 |
Modular degree for the optimal curve |
Δ |
7500338540491205768 = 23 · 298 · 374 |
Discriminant |
Eigenvalues |
2- 2 2 -1 0 -6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-575682,104176583] |
[a1,a2,a3,a4,a6] |
Generators |
[211548:10196813:1728] |
Generators of the group modulo torsion |
j |
42178169473/14993288 |
j-invariant |
L |
14.928853486514 |
L(r)(E,1)/r! |
Ω |
0.2153041242195 |
Real period |
R |
11.556407740835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62234e1 |
Quadratic twists by: 29 |