Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2499j |
Isogeny class |
Conductor |
2499 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-620141294888534979 = -1 · 317 · 710 · 17 |
Discriminant |
Eigenvalues |
0 3- -1 7- 3 -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,174669,-25358938] |
[a1,a2,a3,a4,a6] |
Generators |
[618:17860:1] |
Generators of the group modulo torsion |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
3.0469118730617 |
L(r)(E,1)/r! |
Ω |
0.15657864783445 |
Real period |
R |
0.57233253913903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984bm1 7497k1 62475r1 357a1 |
Quadratic twists by: -4 -3 5 -7 |