Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344j |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
847805755152384 = 211 · 33 · 76 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62344,-5804756] |
[a1,a2,a3,a4,a6] |
Generators |
[1601:63210:1] |
Generators of the group modulo torsion |
j |
111223479026/3518667 |
j-invariant |
L |
3.3408731037097 |
L(r)(E,1)/r! |
Ω |
0.30272040290442 |
Real period |
R |
5.5180838021753 |
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 |
44688bc4 67032cr4 456b3 |
Quadratic twists by: -4 -3 -7 |