Atkin-Lehner |
3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341v |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
1582047369 = 38 · 73 · 19 · 37 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-292,-115] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:127:8] |
Generators of the group modulo torsion |
j |
7988005999/4612383 |
j-invariant |
L |
8.1965705886014 |
L(r)(E,1)/r! |
Ω |
1.2614122140048 |
Real period |
R |
1.6244829649254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999695035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103341e1 |
Quadratic twists by: -7 |