Atkin-Lehner |
3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2499b |
Isogeny class |
Conductor |
2499 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
34986577269 = 3 · 79 · 172 |
Discriminant |
Eigenvalues |
1 3+ -2 7- -6 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5366,-153285] |
[a1,a2,a3,a4,a6] |
j |
423564751/867 |
j-invariant |
L |
0.55786582440577 |
L(r)(E,1)/r! |
Ω |
0.55786582440577 |
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 |
39984dh2 7497p2 62475ch2 2499m2 |
Quadratic twists by: -4 -3 5 -7 |