Atkin-Lehner |
2+ 3+ 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942h |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
-429821040118111488 = -1 · 28 · 32 · 75 · 115 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-390351,98866341] |
[a1,a2,a3,a4,a6] |
Generators |
[-675:7779:1] [-642:9561:1] |
Generators of the group modulo torsion |
j |
-6577961682820236170617/429821040118111488 |
j-invariant |
L |
4.5150848765128 |
L(r)(E,1)/r! |
Ω |
0.29323129981938 |
Real period |
R |
0.051325635875093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56826ba1 |
Quadratic twists by: -3 |