Atkin-Lehner |
2+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35816b |
Isogeny class |
Conductor |
35816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1476659869696 = -1 · 211 · 117 · 37 |
Discriminant |
Eigenvalues |
2+ 2 1 2 11- 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-58452] |
[a1,a2,a3,a4,a6] |
Generators |
[10089255:66226686:166375] |
Generators of the group modulo torsion |
j |
-2/407 |
j-invariant |
L |
9.7094510175924 |
L(r)(E,1)/r! |
Ω |
0.3887661081367 |
Real period |
R |
12.487522464507 |
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 |
71632c1 3256a1 |
Quadratic twists by: -4 -11 |