Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
840d |
Isogeny class |
Conductor |
840 |
Conductor |
∏ cp |
80 |
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 |
1.8455221408688 |
L(r)(E,1)/r! |
Ω |
0.36910442817376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1680b3 6720i3 2520q3 4200r3 |
Quadratic twists by: -4 8 -3 5 |