Atkin-Lehner |
2+ 7- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
83398d |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.9865516431899E+22 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -4 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32655193,-70867496475] |
[a1,a2,a3,a4,a6] |
Generators |
[2891569165435697738840565:-123900751294167380819003246:388068942751471724625] |
Generators of the group modulo torsion |
j |
95432903547615044767/1483523305163264 |
j-invariant |
L |
9.149428997188 |
L(r)(E,1)/r! |
Ω |
0.063215067613909 |
Real period |
R |
36.183734883535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83398e2 |
Quadratic twists by: -7 |