Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568w |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1966538896825658112 = -1 · 28 · 37 · 378 |
Discriminant |
Eigenvalues |
2- 3- 4 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45177,67368490] |
[a1,a2,a3,a4,a6] |
Generators |
[397565:14045940:343] |
Generators of the group modulo torsion |
j |
21296/4107 |
j-invariant |
L |
9.361949979341 |
L(r)(E,1)/r! |
Ω |
0.2026635413381 |
Real period |
R |
5.7743180521291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856h2 2664d2 |
Quadratic twists by: -3 37 |