Atkin-Lehner |
2+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62678b |
Isogeny class |
Conductor |
62678 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28633323176608304 = 24 · 72 · 117 · 374 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11- -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89421,6259565] |
[a1,a2,a3,a4,a6] |
j |
44636872368817/16162764464 |
j-invariant |
L |
1.3677885224571 |
L(r)(E,1)/r! |
Ω |
0.34194712908276 |
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 |
5698c2 |
Quadratic twists by: -11 |