Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712l |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3452544 |
Modular degree for the optimal curve |
Δ |
-7.0795400285724E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 2 3 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2245616,1356282852] |
[a1,a2,a3,a4,a6] |
j |
-348190276/19683 |
j-invariant |
L |
6.9173124460035 |
L(r)(E,1)/r! |
Ω |
0.19214756783995 |
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 |
32856d1 65712m1 |
Quadratic twists by: -4 37 |