Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850bl |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
39548376562500 = 22 · 34 · 58 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10713,-305469] |
[a1,a2,a3,a4,a6] |
Generators |
[275:4062:1] |
Generators of the group modulo torsion |
j |
8702409880009/2531096100 |
j-invariant |
L |
7.3832365499106 |
L(r)(E,1)/r! |
Ω |
0.47971579882474 |
Real period |
R |
3.8477138793195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001142 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16770e2 |
Quadratic twists by: 5 |