Atkin-Lehner |
2- 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cc |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
536434462151280 = 24 · 316 · 5 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-66462430,-208578770005] |
[a1,a2,a3,a4,a6] |
Generators |
[10055:-379005:1] |
Generators of the group modulo torsion |
j |
32467762485497628822999402721/536434462151280 |
j-invariant |
L |
7.9279899287279 |
L(r)(E,1)/r! |
Ω |
0.052875623394028 |
Real period |
R |
4.6855180018683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810s6 |
Quadratic twists by: -3 |