Atkin-Lehner |
2+ 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970j |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
13367254394531250 = 2 · 36 · 512 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116893,14331806] |
[a1,a2,a3,a4,a6] |
Generators |
[142:704:1] |
Generators of the group modulo torsion |
j |
176637897012434053321/13367254394531250 |
j-invariant |
L |
4.0138478322631 |
L(r)(E,1)/r! |
Ω |
0.38935900591105 |
Real period |
R |
2.5772152251052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
71910bd2 119850ca2 |
Quadratic twists by: -3 5 |