Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
410c |
Isogeny class |
Conductor |
410 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
840500 = 22 · 53 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2668,52806] |
[a1,a2,a3,a4,a6] |
j |
2099167877572921/840500 |
j-invariant |
L |
0.76260551393537 |
L(r)(E,1)/r! |
Ω |
2.2878165418061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
3280j2 13120c2 3690r2 2050d2 |
Quadratic twists by: -4 8 -3 5 |