Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560x |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[-168:1372:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
4.6534444434839 |
L(r)(E,1)/r! |
Ω |
0.48914021834562 |
Real period |
R |
1.189189793809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560cv1 7840x1 10080ba1 |
Quadratic twists by: -4 -3 -7 |