Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
47377612800 = 216 · 35 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61689601,-186515076385] |
[a1,a2,a3,a4,a6] |
Generators |
[19181:2384844:1] |
Generators of the group modulo torsion |
j |
396168254899399897286404/722925 |
j-invariant |
L |
9.1599040740574 |
L(r)(E,1)/r! |
Ω |
0.053869948922951 |
Real period |
R |
8.5018681871338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999887537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gm4 14280k3 |
Quadratic twists by: -4 8 |