Atkin-Lehner |
2- 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490bb |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
2310 |
Product of Tamagawa factors cp |
deg |
517440 |
Modular degree for the optimal curve |
Δ |
-3096727919290368000 = -1 · 214 · 311 · 53 · 115 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1588010,774750372] |
[a1,a2,a3,a4,a6] |
Generators |
[994:12868:1] |
Generators of the group modulo torsion |
j |
-442877307391997861876641/3096727919290368000 |
j-invariant |
L |
9.587595995964 |
L(r)(E,1)/r! |
Ω |
0.25409190072256 |
Real period |
R |
0.016334540555305 |
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 |
52470f1 87450g1 |
Quadratic twists by: -3 5 |