Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560d |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2323836479139840 = 212 · 39 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47628,-3259872] |
[a1,a2,a3,a4,a6] |
j |
1259712/245 |
j-invariant |
L |
2.6203836217891 |
L(r)(E,1)/r! |
Ω |
0.32754795399533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560cd2 70560cm2 10080f2 |
Quadratic twists by: -4 -3 -7 |