Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688t |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-782830798848 = -1 · 211 · 32 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1160,39376] |
[a1,a2,a3,a4,a6] |
Generators |
[26:294:1] |
Generators of the group modulo torsion |
j |
715822/3249 |
j-invariant |
L |
3.9591921317063 |
L(r)(E,1)/r! |
Ω |
0.6422465968795 |
Real period |
R |
1.5411495175459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344x2 912d2 |
Quadratic twists by: -4 -7 |