Atkin-Lehner |
2+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54464m |
Isogeny class |
Conductor |
54464 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1285120 |
Modular degree for the optimal curve |
Δ |
601013506097152 = 214 · 232 · 375 |
Discriminant |
Eigenvalues |
2+ -3 0 3 5 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2549200,1566584608] |
[a1,a2,a3,a4,a6] |
Generators |
[921:37:1] |
Generators of the group modulo torsion |
j |
111818973794544000000/36682953253 |
j-invariant |
L |
4.3345392553107 |
L(r)(E,1)/r! |
Ω |
0.41526783299004 |
Real period |
R |
1.0437936461775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54464q1 6808d1 |
Quadratic twists by: -4 8 |