Atkin-Lehner |
2+ 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904h |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
8783068443181056 = 219 · 35 · 194 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-154817,22957215] |
[a1,a2,a3,a4,a6] |
Generators |
[178:1035:1] |
Generators of the group modulo torsion |
j |
1565462029054897/33504747174 |
j-invariant |
L |
10.118427762405 |
L(r)(E,1)/r! |
Ω |
0.41178168009357 |
Real period |
R |
2.4572311618963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83904bh2 2622d2 |
Quadratic twists by: -4 8 |