Atkin-Lehner |
2+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4346a |
Isogeny class |
Conductor |
4346 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8928 |
Modular degree for the optimal curve |
Δ |
-76679850496 = -1 · 29 · 414 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -3 -2 -3 -4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11890,498180] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-12:1] |
Generators of the group modulo torsion |
j |
-185873196971998873/76679850496 |
j-invariant |
L |
1.0103815223059 |
L(r)(E,1)/r! |
Ω |
1.0697244238048 |
Real period |
R |
0.23613126423538 |
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 |
34768h1 39114n1 108650l1 |
Quadratic twists by: -4 -3 5 |