Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18837i |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-10680579 = -1 · 36 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
2 3- 3 7- -1 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-381,-2867] |
[a1,a2,a3,a4,a6] |
Generators |
[352834:74098699:8] |
Generators of the group modulo torsion |
j |
-8390176768/14651 |
j-invariant |
L |
12.002039869057 |
L(r)(E,1)/r! |
Ω |
0.54024762106284 |
Real period |
R |
11.107906264765 |
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 |
2093e1 |
Quadratic twists by: -3 |