Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
840g |
Isogeny class |
Conductor |
840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
453600000000 = 211 · 34 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24400,-1458548] |
[a1,a2,a3,a4,a6] |
j |
784478485879202/221484375 |
j-invariant |
L |
1.527981036942 |
L(r)(E,1)/r! |
Ω |
0.3819952592355 |
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 |
1680h5 6720w5 2520g5 4200k5 |
Quadratic twists by: -4 8 -3 5 |