Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13350k |
Isogeny class |
Conductor |
13350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3244050 = -1 · 2 · 36 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37,11] |
[a1,a2,a3,a4,a6] |
j |
223694375/129762 |
j-invariant |
L |
2.9875755357433 |
L(r)(E,1)/r! |
Ω |
1.4937877678716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106800bq1 40050l1 13350j1 |
Quadratic twists by: -4 -3 5 |