Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674v |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-62701321632768 = -1 · 210 · 38 · 74 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6610,318269] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-773:1] |
Generators of the group modulo torsion |
j |
43818969206375/86010043392 |
j-invariant |
L |
9.1918450277882 |
L(r)(E,1)/r! |
Ω |
0.42923996706395 |
Real period |
R |
0.26767792298854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558j1 |
Quadratic twists by: -3 |