Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cd |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7910711230464 = 217 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68640784,-218864876096] |
[a1,a2,a3,a4,a6] |
Generators |
[10680:515872:1] |
Generators of the group modulo torsion |
j |
74220219816682217473/16416 |
j-invariant |
L |
4.5716875273405 |
L(r)(E,1)/r! |
Ω |
0.052451026898211 |
Real period |
R |
5.4475667561872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586bb3 912k3 |
Quadratic twists by: -4 -7 |