Atkin-Lehner |
2+ 3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410n |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-203494073310000 = -1 · 24 · 312 · 54 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,981,-686475] |
[a1,a2,a3,a4,a6] |
Generators |
[186:-2523:1] |
Generators of the group modulo torsion |
j |
143137741391/279141390000 |
j-invariant |
L |
3.6009469301373 |
L(r)(E,1)/r! |
Ω |
0.26193079376041 |
Real period |
R |
0.85923147834717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470bd2 |
Quadratic twists by: -3 |