Atkin-Lehner |
31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
42439d |
Isogeny class |
Conductor |
42439 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
266400 |
Modular degree for the optimal curve |
Δ |
-4028813933647387 = -1 · 31 · 379 |
Discriminant |
Eigenvalues |
1 2 0 5 2 -3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,36935,1379796] |
[a1,a2,a3,a4,a6] |
Generators |
[-2448722130379440:-7811828892639554:68593724400375] |
Generators of the group modulo torsion |
j |
42875/31 |
j-invariant |
L |
11.817353359846 |
L(r)(E,1)/r! |
Ω |
0.27961541059011 |
Real period |
R |
21.131441459014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42439c1 |
Quadratic twists by: 37 |