Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560l |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
7115411520 = 26 · 33 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1617,24696] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:196:1] |
Generators of the group modulo torsion |
j |
2299968/35 |
j-invariant |
L |
7.1788588870561 |
L(r)(E,1)/r! |
Ω |
1.3290643924495 |
Real period |
R |
1.3503594950344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560k1 70560cc1 10080d1 |
Quadratic twists by: -4 -3 -7 |