Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560v |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23722497391219200 = 29 · 38 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1065603,423325798] |
[a1,a2,a3,a4,a6] |
Generators |
[609:490:1] |
Generators of the group modulo torsion |
j |
3047363673992/540225 |
j-invariant |
L |
4.9269656301946 |
L(r)(E,1)/r! |
Ω |
0.36764447947836 |
Real period |
R |
1.6751800670744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560u4 23520bw4 10080z2 |
Quadratic twists by: -4 -3 -7 |