Atkin-Lehner |
2+ 3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270be |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6258656250 = 2 · 32 · 56 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-689,5762] |
[a1,a2,a3,a4,a6] |
j |
36097320816649/6258656250 |
j-invariant |
L |
2.5557088038469 |
L(r)(E,1)/r! |
Ω |
1.277854401929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810er2 |
Quadratic twists by: -3 |