Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128cf |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
140921831424 = 215 · 3 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1889,25311] |
[a1,a2,a3,a4,a6] |
Generators |
[15:24:1] |
Generators of the group modulo torsion |
j |
22761429704/4300593 |
j-invariant |
L |
7.7408023819658 |
L(r)(E,1)/r! |
Ω |
0.98225664393806 |
Real period |
R |
1.9701578069577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bg3 20064b3 120384da3 |
Quadratic twists by: -4 8 -3 |