Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560cv |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-602476124221440 = -1 · 212 · 36 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27048,-2079952] |
[a1,a2,a3,a4,a6] |
j |
-6229504/1715 |
j-invariant |
L |
0.73404189523193 |
L(r)(E,1)/r! |
Ω |
0.18351047404377 |
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 |
70560x1 7840l1 10080bu1 |
Quadratic twists by: -4 -3 -7 |