Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
840c |
Isogeny class |
Conductor |
840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-995742720 = -1 · 210 · 34 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-1508] |
[a1,a2,a3,a4,a6] |
j |
-7086244/972405 |
j-invariant |
L |
1.3878783222606 |
L(r)(E,1)/r! |
Ω |
0.69393916113032 |
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 |
1680i4 6720p4 2520o4 4200z4 |
Quadratic twists by: -4 8 -3 5 |