Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042ce |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
437184 |
Modular degree for the optimal curve |
Δ |
34894758562407744 = 26 · 3 · 72 · 1111 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 13- -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138755,17690273] |
[a1,a2,a3,a4,a6] |
j |
6029395229781068929/712137929845056 |
j-invariant |
L |
2.130094030429 |
L(r)(E,1)/r! |
Ω |
0.3550156717286 |
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 |
126126da1 42042cs1 |
Quadratic twists by: -3 -7 |