Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946w |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
191979410195088 = 24 · 34 · 177 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 6 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15612,-346752] |
[a1,a2,a3,a4,a6] |
j |
17434421857/7953552 |
j-invariant |
L |
7.1354810313257 |
L(r)(E,1)/r! |
Ω |
0.4459675644579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98838s1 1938g1 |
Quadratic twists by: -3 17 |