Atkin-Lehner |
2- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35150t |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-293436593750 = -1 · 2 · 56 · 193 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 2 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1387,16967] |
[a1,a2,a3,a4,a6] |
Generators |
[1748:16701:64] |
Generators of the group modulo torsion |
j |
18884848247/18779942 |
j-invariant |
L |
11.402139547571 |
L(r)(E,1)/r! |
Ω |
0.64053777110212 |
Real period |
R |
1.4834071283508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406a1 |
Quadratic twists by: 5 |