Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400bo |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-121485312000 = -1 · 214 · 33 · 53 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -5 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,187,-16803] |
[a1,a2,a3,a4,a6] |
j |
351232/59319 |
j-invariant |
L |
0.98816818593238 |
L(r)(E,1)/r! |
Ω |
0.49408409534255 |
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 |
62400hx1 7800x1 62400dw1 |
Quadratic twists by: -4 8 5 |