Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1240d |
Isogeny class |
Conductor |
1240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-124000000 = -1 · 28 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 4 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,124,-124] |
[a1,a2,a3,a4,a6] |
j |
817036976/484375 |
j-invariant |
L |
2.1747560408699 |
L(r)(E,1)/r! |
Ω |
1.087378020435 |
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 |
2480d2 9920k2 11160h2 6200c2 |
Quadratic twists by: -4 8 -3 5 |