Atkin-Lehner |
2+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54464b |
Isogeny class |
Conductor |
54464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-32242688 = -1 · 210 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3 0 -2 2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,-472] |
[a1,a2,a3,a4,a6] |
Generators |
[121515:696599:3375] |
Generators of the group modulo torsion |
j |
-108000000/31487 |
j-invariant |
L |
10.930035189207 |
L(r)(E,1)/r! |
Ω |
0.74366963903279 |
Real period |
R |
7.3487168330636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54464u1 3404b1 |
Quadratic twists by: -4 8 |