Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200bb |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1698356304100000000 = 28 · 58 · 198 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1146175,-468126750] |
[a1,a2,a3,a4,a6] |
Generators |
[9890:16575:8] |
Generators of the group modulo torsion |
j |
884901456/9025 |
j-invariant |
L |
4.2640867114112 |
L(r)(E,1)/r! |
Ω |
0.14600048997681 |
Real period |
R |
7.3014938355512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002811 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14440e2 3800a2 |
Quadratic twists by: 5 -19 |