Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688n |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
20278922832 = 24 · 34 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2319,-41670] |
[a1,a2,a3,a4,a6] |
Generators |
[1542:2548:27] |
Generators of the group modulo torsion |
j |
733001728/10773 |
j-invariant |
L |
3.2280720481858 |
L(r)(E,1)/r! |
Ω |
0.68856564117189 |
Real period |
R |
4.688110842557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344u1 6384k1 |
Quadratic twists by: -4 -7 |