Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560u |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
13616229369960000 = 26 · 310 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73353,-5191648] |
[a1,a2,a3,a4,a6] |
Generators |
[1148:37730:1] |
Generators of the group modulo torsion |
j |
7952095936/2480625 |
j-invariant |
L |
5.0486445168074 |
L(r)(E,1)/r! |
Ω |
0.29719076619462 |
Real period |
R |
4.2469728967981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999574 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70560v1 23520bj1 10080w1 |
Quadratic twists by: -4 -3 -7 |