Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562y |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
40981924190592 = 27 · 33 · 78 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36467,-2653485] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:150:1] |
Generators of the group modulo torsion |
j |
198631853028508563/1517849044096 |
j-invariant |
L |
6.3142941009412 |
L(r)(E,1)/r! |
Ω |
0.34564124932005 |
Real period |
R |
0.32622047288724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23562c2 |
Quadratic twists by: -3 |