Atkin-Lehner |
2- 3+ 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
101616i |
Isogeny class |
Conductor |
101616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35569694451695616 = 220 · 32 · 294 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217072,37927360] |
[a1,a2,a3,a4,a6] |
Generators |
[3882:240170:1] |
Generators of the group modulo torsion |
j |
276170437426035313/8684007434496 |
j-invariant |
L |
3.9651058527696 |
L(r)(E,1)/r! |
Ω |
0.36481157557473 |
Real period |
R |
5.434457320912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999432513 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12702e2 |
Quadratic twists by: -4 |