Atkin-Lehner |
2+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
410a |
Isogeny class |
Conductor |
410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
67240 = 23 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -6 -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-214,1260] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-3:1] |
Generators of the group modulo torsion |
j |
1086691018041/67240 |
j-invariant |
L |
1.3868548095141 |
L(r)(E,1)/r! |
Ω |
3.2967108101876 |
Real period |
R |
0.84135666691077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3280l2 13120j2 3690q2 2050f2 |
Quadratic twists by: -4 8 -3 5 |