Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1680b |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
30616756468300800 = 210 · 320 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202616,-34012320] |
[a1,a2,a3,a4,a6] |
j |
898353183174324196/29899176238575 |
j-invariant |
L |
1.3529081754592 |
L(r)(E,1)/r! |
Ω |
0.22548469590987 |
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 |
840d3 6720cl3 5040q3 8400s3 |
Quadratic twists by: -4 8 -3 5 |