Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bp |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-26284800 = -1 · 28 · 3 · 52 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -2 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373,-2663] |
[a1,a2,a3,a4,a6] |
Generators |
[41:222:1] |
Generators of the group modulo torsion |
j |
-899153920/4107 |
j-invariant |
L |
3.147529338625 |
L(r)(E,1)/r! |
Ω |
0.54290855843434 |
Real period |
R |
1.4493828148964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100m1 44400de1 |
Quadratic twists by: -4 5 |