Atkin-Lehner |
2+ 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672h |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-284505995510784 = -1 · 210 · 315 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 2 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-282544,-57906556] |
[a1,a2,a3,a4,a6] |
j |
-2436035204381540548/277837886241 |
j-invariant |
L |
6.2122108427789 |
L(r)(E,1)/r! |
Ω |
0.10353684737237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27336h1 |
Quadratic twists by: -4 |