Atkin-Lehner |
2+ 3- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232d |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
349507934208 = 211 · 38 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89894019,-328053223582] |
[a1,a2,a3,a4,a6] |
Generators |
[-10813234914136088833:18026844166870:1975380879198817] |
Generators of the group modulo torsion |
j |
53809458751271244978434/234099 |
j-invariant |
L |
8.6606396671004 |
L(r)(E,1)/r! |
Ω |
0.049030560201518 |
Real period |
R |
22.079697901431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000044342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50616e6 33744c6 |
Quadratic twists by: -4 -3 |