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 |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
259218185599844352 = 232 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275984,-50049600] |
[a1,a2,a3,a4,a6] |
Generators |
[-6018:15778:27] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
4.5716875273405 |
L(r)(E,1)/r! |
Ω |
0.20980410759285 |
Real period |
R |
5.4475667561872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586bb1 912k1 |
Quadratic twists by: -4 -7 |