Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370s |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
118659560072789610 = 2 · 34 · 5 · 78 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-174367,22526659] |
[a1,a2,a3,a4,a6] |
Generators |
[39700:773167:64] |
Generators of the group modulo torsion |
j |
4983474614785129/1008589618890 |
j-invariant |
L |
5.1623500621222 |
L(r)(E,1)/r! |
Ω |
0.31415320939703 |
Real period |
R |
8.2162936925719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910q3 |
Quadratic twists by: -7 |